Home / 1,342.31-2,013.66-692.82

Finding the Fourth Proportional to 1,342.31, 2,013.66 and 692.82

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Solution

The fourth proportional to 1,342.31, 2,013.66 and 692.82 is: 1,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.31 : 2,013.66 = 692.82 : x
  2. Step 2: Convert to fraction form
    1,342.31/2,013.66 = 692.82/x
  3. Step 3: Cross multiply
    1,342.31x = 2,013.66 × 692.82
  4. Step 4: Simplify right side
    1,342.31x = 1,395,103.92
  5. Step 5: Solve for x
    x = 1,395,103.92/1,342.31
  6. Step 6: Final answer
    x = 1,039.33

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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.