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Finding the Fourth Proportional to 613.52, 923.90 and 516.86

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Solution

The fourth proportional to 613.52, 923.90 and 516.86 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 923.90 = 516.86 : x
  2. Step 2: Convert to fraction form
    613.52/923.90 = 516.86/x
  3. Step 3: Cross multiply
    613.52x = 923.90 × 516.86
  4. Step 4: Simplify right side
    613.52x = 477,526.95
  5. Step 5: Solve for x
    x = 477,526.95/613.52
  6. Step 6: Final answer
    x = 778.34

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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.