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Finding the Fourth Proportional to 1,049.41, 1,572.82 and 463.78

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Solution

The fourth proportional to 1,049.41, 1,572.82 and 463.78 is: 695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.41 : 1,572.82 = 463.78 : x
  2. Step 2: Convert to fraction form
    1,049.41/1,572.82 = 463.78/x
  3. Step 3: Cross multiply
    1,049.41x = 1,572.82 × 463.78
  4. Step 4: Simplify right side
    1,049.41x = 729,438.53
  5. Step 5: Solve for x
    x = 729,438.53/1,049.41
  6. Step 6: Final answer
    x = 695.10

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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.