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Finding the Fourth Proportional to 676.59, 1,008.24 and 654.57

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Solution

The fourth proportional to 676.59, 1,008.24 and 654.57 is: 975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 1,008.24 = 654.57 : x
  2. Step 2: Convert to fraction form
    676.59/1,008.24 = 654.57/x
  3. Step 3: Cross multiply
    676.59x = 1,008.24 × 654.57
  4. Step 4: Simplify right side
    676.59x = 659,963.66
  5. Step 5: Solve for x
    x = 659,963.66/676.59
  6. Step 6: Final answer
    x = 975.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.