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Finding the Fourth Proportional to 517.27, 713.68 and 477.93

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Solution

The fourth proportional to 517.27, 713.68 and 477.93 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.27 : 713.68 = 477.93 : x
  2. Step 2: Convert to fraction form
    517.27/713.68 = 477.93/x
  3. Step 3: Cross multiply
    517.27x = 713.68 × 477.93
  4. Step 4: Simplify right side
    517.27x = 341,090.56
  5. Step 5: Solve for x
    x = 341,090.56/517.27
  6. Step 6: Final answer
    x = 659.41

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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.