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Finding the Fourth Proportional to 672.68, 928.14 and 377.92

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Solution

The fourth proportional to 672.68, 928.14 and 377.92 is: 521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 928.14 = 377.92 : x
  2. Step 2: Convert to fraction form
    672.68/928.14 = 377.92/x
  3. Step 3: Cross multiply
    672.68x = 928.14 × 377.92
  4. Step 4: Simplify right side
    672.68x = 350,762.67
  5. Step 5: Solve for x
    x = 350,762.67/672.68
  6. Step 6: Final answer
    x = 521.44

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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.