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Finding the Fourth Proportional to 613.52, 846.90 and 392.66

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Solution

The fourth proportional to 613.52, 846.90 and 392.66 is: 542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 846.90 = 392.66 : x
  2. Step 2: Convert to fraction form
    613.52/846.90 = 392.66/x
  3. Step 3: Cross multiply
    613.52x = 846.90 × 392.66
  4. Step 4: Simplify right side
    613.52x = 332,543.75
  5. Step 5: Solve for x
    x = 332,543.75/613.52
  6. Step 6: Final answer
    x = 542.03

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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.