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Finding the Fourth Proportional to 721.84, 1,082.30 and 549.62

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Solution

The fourth proportional to 721.84, 1,082.30 and 549.62 is: 824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.84 : 1,082.30 = 549.62 : x
  2. Step 2: Convert to fraction form
    721.84/1,082.30 = 549.62/x
  3. Step 3: Cross multiply
    721.84x = 1,082.30 × 549.62
  4. Step 4: Simplify right side
    721.84x = 594,853.73
  5. Step 5: Solve for x
    x = 594,853.73/721.84
  6. Step 6: Final answer
    x = 824.08

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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.