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Finding the Fourth Proportional to 1,230.57, 1,842.21 and 742.14

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Solution

The fourth proportional to 1,230.57, 1,842.21 and 742.14 is: 1,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.57 : 1,842.21 = 742.14 : x
  2. Step 2: Convert to fraction form
    1,230.57/1,842.21 = 742.14/x
  3. Step 3: Cross multiply
    1,230.57x = 1,842.21 × 742.14
  4. Step 4: Simplify right side
    1,230.57x = 1,367,177.73
  5. Step 5: Solve for x
    x = 1,367,177.73/1,230.57
  6. Step 6: Final answer
    x = 1,111.01

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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.