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Finding the Fourth Proportional to 674.32, 1,012.34 and 431.92

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Solution

The fourth proportional to 674.32, 1,012.34 and 431.92 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.32 : 1,012.34 = 431.92 : x
  2. Step 2: Convert to fraction form
    674.32/1,012.34 = 431.92/x
  3. Step 3: Cross multiply
    674.32x = 1,012.34 × 431.92
  4. Step 4: Simplify right side
    674.32x = 437,249.89
  5. Step 5: Solve for x
    x = 437,249.89/674.32
  6. Step 6: Final answer
    x = 648.43

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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.