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Finding the Fourth Proportional to 1,340.43, 2,011 and 560.18

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Solution

The fourth proportional to 1,340.43, 2,011 and 560.18 is: 840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.43 : 2,011 = 560.18 : x
  2. Step 2: Convert to fraction form
    1,340.43/2,011 = 560.18/x
  3. Step 3: Cross multiply
    1,340.43x = 2,011 × 560.18
  4. Step 4: Simplify right side
    1,340.43x = 1,126,521.98
  5. Step 5: Solve for x
    x = 1,126,521.98/1,340.43
  6. Step 6: Final answer
    x = 840.42

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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.