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Finding the Fourth Proportional to 517.56, 713.41 and 406.89

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Solution

The fourth proportional to 517.56, 713.41 and 406.89 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 713.41 = 406.89 : x
  2. Step 2: Convert to fraction form
    517.56/713.41 = 406.89/x
  3. Step 3: Cross multiply
    517.56x = 713.41 × 406.89
  4. Step 4: Simplify right side
    517.56x = 290,278.38
  5. Step 5: Solve for x
    x = 290,278.38/517.56
  6. Step 6: Final answer
    x = 560.86

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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.