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Finding the Fourth Proportional to 515.43, 772.47 and 424.26

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Solution

The fourth proportional to 515.43, 772.47 and 424.26 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.43 : 772.47 = 424.26 : x
  2. Step 2: Convert to fraction form
    515.43/772.47 = 424.26/x
  3. Step 3: Cross multiply
    515.43x = 772.47 × 424.26
  4. Step 4: Simplify right side
    515.43x = 327,728.12
  5. Step 5: Solve for x
    x = 327,728.12/515.43
  6. Step 6: Final answer
    x = 635.83

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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.