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Finding the Fourth Proportional to 517.59, 713.44 and 406.87

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Solution

The fourth proportional to 517.59, 713.44 and 406.87 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 713.44 = 406.87 : x
  2. Step 2: Convert to fraction form
    517.59/713.44 = 406.87/x
  3. Step 3: Cross multiply
    517.59x = 713.44 × 406.87
  4. Step 4: Simplify right side
    517.59x = 290,277.33
  5. Step 5: Solve for x
    x = 290,277.33/517.59
  6. Step 6: Final answer
    x = 560.82

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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.