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Finding the Fourth Proportional to 1,340.70, 2,009.49 and 560.27

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Solution

The fourth proportional to 1,340.70, 2,009.49 and 560.27 is: 839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.70 : 2,009.49 = 560.27 : x
  2. Step 2: Convert to fraction form
    1,340.70/2,009.49 = 560.27/x
  3. Step 3: Cross multiply
    1,340.70x = 2,009.49 × 560.27
  4. Step 4: Simplify right side
    1,340.70x = 1,125,856.96
  5. Step 5: Solve for x
    x = 1,125,856.96/1,340.70
  6. Step 6: Final answer
    x = 839.75

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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.