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Finding the Fourth Proportional to 1,171.84, 1,616.82 and 729.76

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Solution

The fourth proportional to 1,171.84, 1,616.82 and 729.76 is: 1,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.84 : 1,616.82 = 729.76 : x
  2. Step 2: Convert to fraction form
    1,171.84/1,616.82 = 729.76/x
  3. Step 3: Cross multiply
    1,171.84x = 1,616.82 × 729.76
  4. Step 4: Simplify right side
    1,171.84x = 1,179,890.56
  5. Step 5: Solve for x
    x = 1,179,890.56/1,171.84
  6. Step 6: Final answer
    x = 1,006.87

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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.