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Finding the Fourth Proportional to 516.10, 711.83 and 358.73

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Solution

The fourth proportional to 516.10, 711.83 and 358.73 is: 494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.10 : 711.83 = 358.73 : x
  2. Step 2: Convert to fraction form
    516.10/711.83 = 358.73/x
  3. Step 3: Cross multiply
    516.10x = 711.83 × 358.73
  4. Step 4: Simplify right side
    516.10x = 255,354.78
  5. Step 5: Solve for x
    x = 255,354.78/516.10
  6. Step 6: Final answer
    x = 494.78

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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.