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Finding the Fourth Proportional to 515.97, 712.20 and 411.24

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Solution

The fourth proportional to 515.97, 712.20 and 411.24 is: 567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 712.20 = 411.24 : x
  2. Step 2: Convert to fraction form
    515.97/712.20 = 411.24/x
  3. Step 3: Cross multiply
    515.97x = 712.20 × 411.24
  4. Step 4: Simplify right side
    515.97x = 292,885.13
  5. Step 5: Solve for x
    x = 292,885.13/515.97
  6. Step 6: Final answer
    x = 567.64

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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.