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Finding the Fourth Proportional to 519.72, 715.64 and 408.85

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Solution

The fourth proportional to 519.72, 715.64 and 408.85 is: 562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 715.64 = 408.85 : x
  2. Step 2: Convert to fraction form
    519.72/715.64 = 408.85/x
  3. Step 3: Cross multiply
    519.72x = 715.64 × 408.85
  4. Step 4: Simplify right side
    519.72x = 292,585.58
  5. Step 5: Solve for x
    x = 292,585.58/519.72
  6. Step 6: Final answer
    x = 562.97

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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.