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Finding the Fourth Proportional to 1,340.66, 2,010.33 and 560.43

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Solution

The fourth proportional to 1,340.66, 2,010.33 and 560.43 is: 840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.66 : 2,010.33 = 560.43 : x
  2. Step 2: Convert to fraction form
    1,340.66/2,010.33 = 560.43/x
  3. Step 3: Cross multiply
    1,340.66x = 2,010.33 × 560.43
  4. Step 4: Simplify right side
    1,340.66x = 1,126,649.24
  5. Step 5: Solve for x
    x = 1,126,649.24/1,340.66
  6. Step 6: Final answer
    x = 840.37

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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.