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Finding the Fourth Proportional to 1,382.09, 2,073.27 and 457.68

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Solution

The fourth proportional to 1,382.09, 2,073.27 and 457.68 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.09 : 2,073.27 = 457.68 : x
  2. Step 2: Convert to fraction form
    1,382.09/2,073.27 = 457.68/x
  3. Step 3: Cross multiply
    1,382.09x = 2,073.27 × 457.68
  4. Step 4: Simplify right side
    1,382.09x = 948,894.21
  5. Step 5: Solve for x
    x = 948,894.21/1,382.09
  6. Step 6: Final answer
    x = 686.57

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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.