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Finding the Fourth Proportional to 676.28, 1,007.43 and 655.88

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Solution

The fourth proportional to 676.28, 1,007.43 and 655.88 is: 977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.28 : 1,007.43 = 655.88 : x
  2. Step 2: Convert to fraction form
    676.28/1,007.43 = 655.88/x
  3. Step 3: Cross multiply
    676.28x = 1,007.43 × 655.88
  4. Step 4: Simplify right side
    676.28x = 660,748.15
  5. Step 5: Solve for x
    x = 660,748.15/676.28
  6. Step 6: Final answer
    x = 977.04

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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.