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Finding the Fourth Proportional to 1,382.30, 2,073.38 and 560.36

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Solution

The fourth proportional to 1,382.30, 2,073.38 and 560.36 is: 840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.30 : 2,073.38 = 560.36 : x
  2. Step 2: Convert to fraction form
    1,382.30/2,073.38 = 560.36/x
  3. Step 3: Cross multiply
    1,382.30x = 2,073.38 × 560.36
  4. Step 4: Simplify right side
    1,382.30x = 1,161,833.09
  5. Step 5: Solve for x
    x = 1,161,833.09/1,382.30
  6. Step 6: Final answer
    x = 840.50

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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.