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Finding the Fourth Proportional to 1,382.11, 2,073.15 and 560.39

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Solution

The fourth proportional to 1,382.11, 2,073.15 and 560.39 is: 840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.11 : 2,073.15 = 560.39 : x
  2. Step 2: Convert to fraction form
    1,382.11/2,073.15 = 560.39/x
  3. Step 3: Cross multiply
    1,382.11x = 2,073.15 × 560.39
  4. Step 4: Simplify right side
    1,382.11x = 1,161,762.16
  5. Step 5: Solve for x
    x = 1,161,762.16/1,382.11
  6. Step 6: Final answer
    x = 840.57

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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.