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Finding the Fourth Proportional to 521.43, 714.24 and 514.76

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Solution

The fourth proportional to 521.43, 714.24 and 514.76 is: 705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.43 : 714.24 = 514.76 : x
  2. Step 2: Convert to fraction form
    521.43/714.24 = 514.76/x
  3. Step 3: Cross multiply
    521.43x = 714.24 × 514.76
  4. Step 4: Simplify right side
    521.43x = 367,658.61
  5. Step 5: Solve for x
    x = 367,658.61/521.43
  6. Step 6: Final answer
    x = 705.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.