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Finding the Fourth Proportional to 572.52, 862.12 and 411.32

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Solution

The fourth proportional to 572.52, 862.12 and 411.32 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 862.12 = 411.32 : x
  2. Step 2: Convert to fraction form
    572.52/862.12 = 411.32/x
  3. Step 3: Cross multiply
    572.52x = 862.12 × 411.32
  4. Step 4: Simplify right side
    572.52x = 354,607.20
  5. Step 5: Solve for x
    x = 354,607.20/572.52
  6. Step 6: Final answer
    x = 619.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.