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Finding the Fourth Proportional to 516.92, 714.72 and 452.12

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Solution

The fourth proportional to 516.92, 714.72 and 452.12 is: 625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 714.72 = 452.12 : x
  2. Step 2: Convert to fraction form
    516.92/714.72 = 452.12/x
  3. Step 3: Cross multiply
    516.92x = 714.72 × 452.12
  4. Step 4: Simplify right side
    516.92x = 323,139.21
  5. Step 5: Solve for x
    x = 323,139.21/516.92
  6. Step 6: Final answer
    x = 625.12

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1.5x scale

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.