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Finding the Fourth Proportional to 672.19, 1,008.28 and 287.44

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Solution

The fourth proportional to 672.19, 1,008.28 and 287.44 is: 431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.19 : 1,008.28 = 287.44 : x
  2. Step 2: Convert to fraction form
    672.19/1,008.28 = 287.44/x
  3. Step 3: Cross multiply
    672.19x = 1,008.28 × 287.44
  4. Step 4: Simplify right side
    672.19x = 289,817.84
  5. Step 5: Solve for x
    x = 289,817.84/672.19
  6. Step 6: Final answer
    x = 431.16

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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.