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Finding the Fourth Proportional to 1,342.49, 2,013 and 405.29

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Solution

The fourth proportional to 1,342.49, 2,013 and 405.29 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.49 : 2,013 = 405.29 : x
  2. Step 2: Convert to fraction form
    1,342.49/2,013 = 405.29/x
  3. Step 3: Cross multiply
    1,342.49x = 2,013 × 405.29
  4. Step 4: Simplify right side
    1,342.49x = 815,853.80
  5. Step 5: Solve for x
    x = 815,853.80/1,342.49
  6. Step 6: Final answer
    x = 607.72

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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.