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Finding the Fourth Proportional to 671.32, 1,007.84 and 428.92

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Solution

The fourth proportional to 671.32, 1,007.84 and 428.92 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,007.84 = 428.92 : x
  2. Step 2: Convert to fraction form
    671.32/1,007.84 = 428.92/x
  3. Step 3: Cross multiply
    671.32x = 1,007.84 × 428.92
  4. Step 4: Simplify right side
    671.32x = 432,282.73
  5. Step 5: Solve for x
    x = 432,282.73/671.32
  6. Step 6: Final answer
    x = 643.93

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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.