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Finding the Fourth Proportional to 516.68, 778.82 and 472.86

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Solution

The fourth proportional to 516.68, 778.82 and 472.86 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 778.82 = 472.86 : x
  2. Step 2: Convert to fraction form
    516.68/778.82 = 472.86/x
  3. Step 3: Cross multiply
    516.68x = 778.82 × 472.86
  4. Step 4: Simplify right side
    516.68x = 368,272.83
  5. Step 5: Solve for x
    x = 368,272.83/516.68
  6. Step 6: Final answer
    x = 712.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.