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Finding the Fourth Proportional to 1,360.09, 1,876.91 and 770.65

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Solution

The fourth proportional to 1,360.09, 1,876.91 and 770.65 is: 1,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.09 : 1,876.91 = 770.65 : x
  2. Step 2: Convert to fraction form
    1,360.09/1,876.91 = 770.65/x
  3. Step 3: Cross multiply
    1,360.09x = 1,876.91 × 770.65
  4. Step 4: Simplify right side
    1,360.09x = 1,446,437.93
  5. Step 5: Solve for x
    x = 1,446,437.93/1,360.09
  6. Step 6: Final answer
    x = 1,063.49

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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.