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Finding the Fourth Proportional to 520.40, 717.16 and 372.78

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Solution

The fourth proportional to 520.40, 717.16 and 372.78 is: 513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 717.16 = 372.78 : x
  2. Step 2: Convert to fraction form
    520.40/717.16 = 372.78/x
  3. Step 3: Cross multiply
    520.40x = 717.16 × 372.78
  4. Step 4: Simplify right side
    520.40x = 267,342.90
  5. Step 5: Solve for x
    x = 267,342.90/520.40
  6. Step 6: Final answer
    x = 513.73

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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.