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Finding the Fourth Proportional to 1,382.38, 2,073.86 and 560.70

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Solution

The fourth proportional to 1,382.38, 2,073.86 and 560.70 is: 841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.38 : 2,073.86 = 560.70 : x
  2. Step 2: Convert to fraction form
    1,382.38/2,073.86 = 560.70/x
  3. Step 3: Cross multiply
    1,382.38x = 2,073.86 × 560.70
  4. Step 4: Simplify right side
    1,382.38x = 1,162,813.30
  5. Step 5: Solve for x
    x = 1,162,813.30/1,382.38
  6. Step 6: Final answer
    x = 841.17

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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.