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Finding the Fourth Proportional to 721.75, 1,082.35 and 259.40

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Solution

The fourth proportional to 721.75, 1,082.35 and 259.40 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.75 : 1,082.35 = 259.40 : x
  2. Step 2: Convert to fraction form
    721.75/1,082.35 = 259.40/x
  3. Step 3: Cross multiply
    721.75x = 1,082.35 × 259.40
  4. Step 4: Simplify right side
    721.75x = 280,760.56
  5. Step 5: Solve for x
    x = 280,760.56/721.75
  6. Step 6: Final answer
    x = 389.00

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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.