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Finding the Fourth Proportional to 515.59, 772.17 and 352.78

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Solution

The fourth proportional to 515.59, 772.17 and 352.78 is: 528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.59 : 772.17 = 352.78 : x
  2. Step 2: Convert to fraction form
    515.59/772.17 = 352.78/x
  3. Step 3: Cross multiply
    515.59x = 772.17 × 352.78
  4. Step 4: Simplify right side
    515.59x = 272,406.13
  5. Step 5: Solve for x
    x = 272,406.13/515.59
  6. Step 6: Final answer
    x = 528.34

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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.