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Finding the Fourth Proportional to 515.60, 710.28 and 411.92

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Solution

The fourth proportional to 515.60, 710.28 and 411.92 is: 567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.60 : 710.28 = 411.92 : x
  2. Step 2: Convert to fraction form
    515.60/710.28 = 411.92/x
  3. Step 3: Cross multiply
    515.60x = 710.28 × 411.92
  4. Step 4: Simplify right side
    515.60x = 292,578.54
  5. Step 5: Solve for x
    x = 292,578.54/515.60
  6. Step 6: Final answer
    x = 567.45

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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.