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Finding the Fourth Proportional to 971.56, 1,340.22 and 616.88

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Solution

The fourth proportional to 971.56, 1,340.22 and 616.88 is: 850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,340.22 = 616.88 : x
  2. Step 2: Convert to fraction form
    971.56/1,340.22 = 616.88/x
  3. Step 3: Cross multiply
    971.56x = 1,340.22 × 616.88
  4. Step 4: Simplify right side
    971.56x = 826,754.91
  5. Step 5: Solve for x
    x = 826,754.91/971.56
  6. Step 6: Final answer
    x = 850.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.