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Finding the Fourth Proportional to 672.76, 1,008.06 and 379.72

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Solution

The fourth proportional to 672.76, 1,008.06 and 379.72 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.76 : 1,008.06 = 379.72 : x
  2. Step 2: Convert to fraction form
    672.76/1,008.06 = 379.72/x
  3. Step 3: Cross multiply
    672.76x = 1,008.06 × 379.72
  4. Step 4: Simplify right side
    672.76x = 382,780.54
  5. Step 5: Solve for x
    x = 382,780.54/672.76
  6. Step 6: Final answer
    x = 568.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.