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Finding the Fourth Proportional to 1,366.57, 2,049.13 and 442.01

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Solution

The fourth proportional to 1,366.57, 2,049.13 and 442.01 is: 662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.57 : 2,049.13 = 442.01 : x
  2. Step 2: Convert to fraction form
    1,366.57/2,049.13 = 442.01/x
  3. Step 3: Cross multiply
    1,366.57x = 2,049.13 × 442.01
  4. Step 4: Simplify right side
    1,366.57x = 905,727.61
  5. Step 5: Solve for x
    x = 905,727.61/1,366.57
  6. Step 6: Final answer
    x = 662.78

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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.