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Finding the Fourth Proportional to 789.32, 1,089.23 and 494.75

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Solution

The fourth proportional to 789.32, 1,089.23 and 494.75 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.32 : 1,089.23 = 494.75 : x
  2. Step 2: Convert to fraction form
    789.32/1,089.23 = 494.75/x
  3. Step 3: Cross multiply
    789.32x = 1,089.23 × 494.75
  4. Step 4: Simplify right side
    789.32x = 538,900.50
  5. Step 5: Solve for x
    x = 538,900.50/789.32
  6. Step 6: Final answer
    x = 682.74

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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.