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Finding the Fourth Proportional to 520.39, 717.16 and 372.77

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Solution

The fourth proportional to 520.39, 717.16 and 372.77 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 717.16 = 372.77 : x
  2. Step 2: Convert to fraction form
    520.39/717.16 = 372.77/x
  3. Step 3: Cross multiply
    520.39x = 717.16 × 372.77
  4. Step 4: Simplify right side
    520.39x = 267,335.73
  5. Step 5: Solve for x
    x = 267,335.73/520.39
  6. Step 6: Final answer
    x = 513.72

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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.