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Finding the Fourth Proportional to 769.71, 1,154.57 and 497.55

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Solution

The fourth proportional to 769.71, 1,154.57 and 497.55 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.71 : 1,154.57 = 497.55 : x
  2. Step 2: Convert to fraction form
    769.71/1,154.57 = 497.55/x
  3. Step 3: Cross multiply
    769.71x = 1,154.57 × 497.55
  4. Step 4: Simplify right side
    769.71x = 574,456.30
  5. Step 5: Solve for x
    x = 574,456.30/769.71
  6. Step 6: Final answer
    x = 746.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.