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Finding the Fourth Proportional to 1,607.44, 2,412.60 and 742

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Solution

The fourth proportional to 1,607.44, 2,412.60 and 742 is: 1,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.44 : 2,412.60 = 742 : x
  2. Step 2: Convert to fraction form
    1,607.44/2,412.60 = 742/x
  3. Step 3: Cross multiply
    1,607.44x = 2,412.60 × 742
  4. Step 4: Simplify right side
    1,607.44x = 1,790,149.20
  5. Step 5: Solve for x
    x = 1,790,149.20/1,607.44
  6. Step 6: Final answer
    x = 1,113.66

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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.