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Finding the Fourth Proportional to 1,003.82, 1,385.84 and 689.27

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Solution

The fourth proportional to 1,003.82, 1,385.84 and 689.27 is: 951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.82 : 1,385.84 = 689.27 : x
  2. Step 2: Convert to fraction form
    1,003.82/1,385.84 = 689.27/x
  3. Step 3: Cross multiply
    1,003.82x = 1,385.84 × 689.27
  4. Step 4: Simplify right side
    1,003.82x = 955,217.96
  5. Step 5: Solve for x
    x = 955,217.96/1,003.82
  6. Step 6: Final answer
    x = 951.58

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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.