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Finding the Fourth Proportional to 1,382.54, 2,072.14 and 560.60

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Solution

The fourth proportional to 1,382.54, 2,072.14 and 560.60 is: 840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.54 : 2,072.14 = 560.60 : x
  2. Step 2: Convert to fraction form
    1,382.54/2,072.14 = 560.60/x
  3. Step 3: Cross multiply
    1,382.54x = 2,072.14 × 560.60
  4. Step 4: Simplify right side
    1,382.54x = 1,161,641.68
  5. Step 5: Solve for x
    x = 1,161,641.68/1,382.54
  6. Step 6: Final answer
    x = 840.22

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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.