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Finding the Fourth Proportional to 672.88, 1,008.96 and 287.92

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Solution

The fourth proportional to 672.88, 1,008.96 and 287.92 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.88 : 1,008.96 = 287.92 : x
  2. Step 2: Convert to fraction form
    672.88/1,008.96 = 287.92/x
  3. Step 3: Cross multiply
    672.88x = 1,008.96 × 287.92
  4. Step 4: Simplify right side
    672.88x = 290,499.76
  5. Step 5: Solve for x
    x = 290,499.76/672.88
  6. Step 6: Final answer
    x = 431.73

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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.