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Finding the Fourth Proportional to 721.73, 1,082.70 and 259.40

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Solution

The fourth proportional to 721.73, 1,082.70 and 259.40 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.73 : 1,082.70 = 259.40 : x
  2. Step 2: Convert to fraction form
    721.73/1,082.70 = 259.40/x
  3. Step 3: Cross multiply
    721.73x = 1,082.70 × 259.40
  4. Step 4: Simplify right side
    721.73x = 280,852.38
  5. Step 5: Solve for x
    x = 280,852.38/721.73
  6. Step 6: Final answer
    x = 389.14

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1.5x scale

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.