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Finding the Fourth Proportional to 1,382.40, 2,073.40 and 457.96

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Solution

The fourth proportional to 1,382.40, 2,073.40 and 457.96 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.40 : 2,073.40 = 457.96 : x
  2. Step 2: Convert to fraction form
    1,382.40/2,073.40 = 457.96/x
  3. Step 3: Cross multiply
    1,382.40x = 2,073.40 × 457.96
  4. Step 4: Simplify right side
    1,382.40x = 949,534.26
  5. Step 5: Solve for x
    x = 949,534.26/1,382.40
  6. Step 6: Final answer
    x = 686.87

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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.