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Finding the Fourth Proportional to 521.76, 714.72 and 516

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Solution

The fourth proportional to 521.76, 714.72 and 516 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.76 : 714.72 = 516 : x
  2. Step 2: Convert to fraction form
    521.76/714.72 = 516/x
  3. Step 3: Cross multiply
    521.76x = 714.72 × 516
  4. Step 4: Simplify right side
    521.76x = 368,795.52
  5. Step 5: Solve for x
    x = 368,795.52/521.76
  6. Step 6: Final answer
    x = 706.83

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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.