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Finding the Fourth Proportional to 1,382.18, 2,073.87 and 732.75

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Solution

The fourth proportional to 1,382.18, 2,073.87 and 732.75 is: 1,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.18 : 2,073.87 = 732.75 : x
  2. Step 2: Convert to fraction form
    1,382.18/2,073.87 = 732.75/x
  3. Step 3: Cross multiply
    1,382.18x = 2,073.87 × 732.75
  4. Step 4: Simplify right side
    1,382.18x = 1,519,628.24
  5. Step 5: Solve for x
    x = 1,519,628.24/1,382.18
  6. Step 6: Final answer
    x = 1,099.45

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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.