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Finding the Fourth Proportional to 519.20, 715.98 and 332.66

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Solution

The fourth proportional to 519.20, 715.98 and 332.66 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.20 : 715.98 = 332.66 : x
  2. Step 2: Convert to fraction form
    519.20/715.98 = 332.66/x
  3. Step 3: Cross multiply
    519.20x = 715.98 × 332.66
  4. Step 4: Simplify right side
    519.20x = 238,177.91
  5. Step 5: Solve for x
    x = 238,177.91/519.20
  6. Step 6: Final answer
    x = 458.74

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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.