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Finding the Fourth Proportional to 1,382.59, 2,073.80 and 560.64

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Solution

The fourth proportional to 1,382.59, 2,073.80 and 560.64 is: 840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.59 : 2,073.80 = 560.64 : x
  2. Step 2: Convert to fraction form
    1,382.59/2,073.80 = 560.64/x
  3. Step 3: Cross multiply
    1,382.59x = 2,073.80 × 560.64
  4. Step 4: Simplify right side
    1,382.59x = 1,162,652.75
  5. Step 5: Solve for x
    x = 1,162,652.75/1,382.59
  6. Step 6: Final answer
    x = 840.93

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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.