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Finding the Fourth Proportional to 980.66, 1,472.07 and 691.22

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Solution

The fourth proportional to 980.66, 1,472.07 and 691.22 is: 1,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.66 : 1,472.07 = 691.22 : x
  2. Step 2: Convert to fraction form
    980.66/1,472.07 = 691.22/x
  3. Step 3: Cross multiply
    980.66x = 1,472.07 × 691.22
  4. Step 4: Simplify right side
    980.66x = 1,017,524.23
  5. Step 5: Solve for x
    x = 1,017,524.23/980.66
  6. Step 6: Final answer
    x = 1,037.59

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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.