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Finding the Fourth Proportional to 1,382.22, 2,073.51 and 457.47

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Solution

The fourth proportional to 1,382.22, 2,073.51 and 457.47 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.22 : 2,073.51 = 457.47 : x
  2. Step 2: Convert to fraction form
    1,382.22/2,073.51 = 457.47/x
  3. Step 3: Cross multiply
    1,382.22x = 2,073.51 × 457.47
  4. Step 4: Simplify right side
    1,382.22x = 948,568.62
  5. Step 5: Solve for x
    x = 948,568.62/1,382.22
  6. Step 6: Final answer
    x = 686.26

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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.