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Finding the Fourth Proportional to 671.47, 1,005.57 and 641.84

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Solution

The fourth proportional to 671.47, 1,005.57 and 641.84 is: 961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.47 : 1,005.57 = 641.84 : x
  2. Step 2: Convert to fraction form
    671.47/1,005.57 = 641.84/x
  3. Step 3: Cross multiply
    671.47x = 1,005.57 × 641.84
  4. Step 4: Simplify right side
    671.47x = 645,410.02
  5. Step 5: Solve for x
    x = 645,410.02/671.47
  6. Step 6: Final answer
    x = 961.19

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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.