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Finding the Fourth Proportional to 1,342.26, 2,013.71 and 561.82

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Solution

The fourth proportional to 1,342.26, 2,013.71 and 561.82 is: 842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.26 : 2,013.71 = 561.82 : x
  2. Step 2: Convert to fraction form
    1,342.26/2,013.71 = 561.82/x
  3. Step 3: Cross multiply
    1,342.26x = 2,013.71 × 561.82
  4. Step 4: Simplify right side
    1,342.26x = 1,131,346.04
  5. Step 5: Solve for x
    x = 1,131,346.04/1,342.26
  6. Step 6: Final answer
    x = 842.87

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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.