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Finding the Fourth Proportional to 517.47, 711.98 and 447.30

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Solution

The fourth proportional to 517.47, 711.98 and 447.30 is: 615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.47 : 711.98 = 447.30 : x
  2. Step 2: Convert to fraction form
    517.47/711.98 = 447.30/x
  3. Step 3: Cross multiply
    517.47x = 711.98 × 447.30
  4. Step 4: Simplify right side
    517.47x = 318,468.09
  5. Step 5: Solve for x
    x = 318,468.09/517.47
  6. Step 6: Final answer
    x = 615.44

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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.