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Finding the Fourth Proportional to 613.86, 847.37 and 392.93

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Solution

The fourth proportional to 613.86, 847.37 and 392.93 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.86 : 847.37 = 392.93 : x
  2. Step 2: Convert to fraction form
    613.86/847.37 = 392.93/x
  3. Step 3: Cross multiply
    613.86x = 847.37 × 392.93
  4. Step 4: Simplify right side
    613.86x = 332,957.25
  5. Step 5: Solve for x
    x = 332,957.25/613.86
  6. Step 6: Final answer
    x = 542.40

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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.