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Finding the Fourth Proportional to 1,378.77, 1,903.03 and 789.65

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Solution

The fourth proportional to 1,378.77, 1,903.03 and 789.65 is: 1,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.77 : 1,903.03 = 789.65 : x
  2. Step 2: Convert to fraction form
    1,378.77/1,903.03 = 789.65/x
  3. Step 3: Cross multiply
    1,378.77x = 1,903.03 × 789.65
  4. Step 4: Simplify right side
    1,378.77x = 1,502,723.29
  5. Step 5: Solve for x
    x = 1,502,723.29/1,378.77
  6. Step 6: Final answer
    x = 1,089.90

Related Problems

Find fourth proportional to 689.38, 951.51 and 394.82
Half scale
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Double scale
Find fourth proportional to 1,379.77, 1,904.41 and 790.65
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.