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Finding the Fourth Proportional to 515.70, 773.55 and 424.17

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Solution

The fourth proportional to 515.70, 773.55 and 424.17 is: 636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.70 : 773.55 = 424.17 : x
  2. Step 2: Convert to fraction form
    515.70/773.55 = 424.17/x
  3. Step 3: Cross multiply
    515.70x = 773.55 × 424.17
  4. Step 4: Simplify right side
    515.70x = 328,116.70
  5. Step 5: Solve for x
    x = 328,116.70/515.70
  6. Step 6: Final answer
    x = 636.26

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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.