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Finding the Fourth Proportional to 721.53, 1,082.25 and 208.53

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Solution

The fourth proportional to 721.53, 1,082.25 and 208.53 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 1,082.25 = 208.53 : x
  2. Step 2: Convert to fraction form
    721.53/1,082.25 = 208.53/x
  3. Step 3: Cross multiply
    721.53x = 1,082.25 × 208.53
  4. Step 4: Simplify right side
    721.53x = 225,681.59
  5. Step 5: Solve for x
    x = 225,681.59/721.53
  6. Step 6: Final answer
    x = 312.78

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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.