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Finding the Fourth Proportional to 672.68, 1,010.18 and 400.49

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Solution

The fourth proportional to 672.68, 1,010.18 and 400.49 is: 601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 1,010.18 = 400.49 : x
  2. Step 2: Convert to fraction form
    672.68/1,010.18 = 400.49/x
  3. Step 3: Cross multiply
    672.68x = 1,010.18 × 400.49
  4. Step 4: Simplify right side
    672.68x = 404,562.94
  5. Step 5: Solve for x
    x = 404,562.94/672.68
  6. Step 6: Final answer
    x = 601.42

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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.