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Finding the Fourth Proportional to 1,233.18, 1,850.13 and 502.62

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Solution

The fourth proportional to 1,233.18, 1,850.13 and 502.62 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.18 : 1,850.13 = 502.62 : x
  2. Step 2: Convert to fraction form
    1,233.18/1,850.13 = 502.62/x
  3. Step 3: Cross multiply
    1,233.18x = 1,850.13 × 502.62
  4. Step 4: Simplify right side
    1,233.18x = 929,912.34
  5. Step 5: Solve for x
    x = 929,912.34/1,233.18
  6. Step 6: Final answer
    x = 754.08

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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.