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Finding the Fourth Proportional to 517.52, 713.84 and 321.14

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Solution

The fourth proportional to 517.52, 713.84 and 321.14 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 713.84 = 321.14 : x
  2. Step 2: Convert to fraction form
    517.52/713.84 = 321.14/x
  3. Step 3: Cross multiply
    517.52x = 713.84 × 321.14
  4. Step 4: Simplify right side
    517.52x = 229,242.58
  5. Step 5: Solve for x
    x = 229,242.58/517.52
  6. Step 6: Final answer
    x = 442.96

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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.