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Finding the Fourth Proportional to 672.75, 928.31 and 392.93

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Solution

The fourth proportional to 672.75, 928.31 and 392.93 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.75 : 928.31 = 392.93 : x
  2. Step 2: Convert to fraction form
    672.75/928.31 = 392.93/x
  3. Step 3: Cross multiply
    672.75x = 928.31 × 392.93
  4. Step 4: Simplify right side
    672.75x = 364,760.85
  5. Step 5: Solve for x
    x = 364,760.85/672.75
  6. Step 6: Final answer
    x = 542.19

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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.