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Finding the Fourth Proportional to 519.06, 715.47 and 406.85

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Solution

The fourth proportional to 519.06, 715.47 and 406.85 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.06 : 715.47 = 406.85 : x
  2. Step 2: Convert to fraction form
    519.06/715.47 = 406.85/x
  3. Step 3: Cross multiply
    519.06x = 715.47 × 406.85
  4. Step 4: Simplify right side
    519.06x = 291,083.87
  5. Step 5: Solve for x
    x = 291,083.87/519.06
  6. Step 6: Final answer
    x = 560.79

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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.