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Finding the Fourth Proportional to 516.67, 714.11 and 457.23

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Solution

The fourth proportional to 516.67, 714.11 and 457.23 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.67 : 714.11 = 457.23 : x
  2. Step 2: Convert to fraction form
    516.67/714.11 = 457.23/x
  3. Step 3: Cross multiply
    516.67x = 714.11 × 457.23
  4. Step 4: Simplify right side
    516.67x = 326,512.52
  5. Step 5: Solve for x
    x = 326,512.52/516.67
  6. Step 6: Final answer
    x = 631.96

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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.