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Finding the Fourth Proportional to 671.84, 1,013.96 and 654.56

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Solution

The fourth proportional to 671.84, 1,013.96 and 654.56 is: 987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 1,013.96 = 654.56 : x
  2. Step 2: Convert to fraction form
    671.84/1,013.96 = 654.56/x
  3. Step 3: Cross multiply
    671.84x = 1,013.96 × 654.56
  4. Step 4: Simplify right side
    671.84x = 663,697.66
  5. Step 5: Solve for x
    x = 663,697.66/671.84
  6. Step 6: Final answer
    x = 987.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.