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Finding the Fourth Proportional to 698.24, 1,049.79 and 482.78

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Solution

The fourth proportional to 698.24, 1,049.79 and 482.78 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 1,049.79 = 482.78 : x
  2. Step 2: Convert to fraction form
    698.24/1,049.79 = 482.78/x
  3. Step 3: Cross multiply
    698.24x = 1,049.79 × 482.78
  4. Step 4: Simplify right side
    698.24x = 506,817.62
  5. Step 5: Solve for x
    x = 506,817.62/698.24
  6. Step 6: Final answer
    x = 725.85

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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.