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Finding the Fourth Proportional to 519.32, 715.91 and 408.59

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Solution

The fourth proportional to 519.32, 715.91 and 408.59 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 715.91 = 408.59 : x
  2. Step 2: Convert to fraction form
    519.32/715.91 = 408.59/x
  3. Step 3: Cross multiply
    519.32x = 715.91 × 408.59
  4. Step 4: Simplify right side
    519.32x = 292,510.73
  5. Step 5: Solve for x
    x = 292,510.73/519.32
  6. Step 6: Final answer
    x = 563.25

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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.