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Finding the Fourth Proportional to 521.75, 714.33 and 516.74

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Solution

The fourth proportional to 521.75, 714.33 and 516.74 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.75 : 714.33 = 516.74 : x
  2. Step 2: Convert to fraction form
    521.75/714.33 = 516.74/x
  3. Step 3: Cross multiply
    521.75x = 714.33 × 516.74
  4. Step 4: Simplify right side
    521.75x = 369,119.31
  5. Step 5: Solve for x
    x = 369,119.31/521.75
  6. Step 6: Final answer
    x = 707.47

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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.