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Finding the Fourth Proportional to 1,233.06, 1,850.12 and 463.38

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Solution

The fourth proportional to 1,233.06, 1,850.12 and 463.38 is: 695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.06 : 1,850.12 = 463.38 : x
  2. Step 2: Convert to fraction form
    1,233.06/1,850.12 = 463.38/x
  3. Step 3: Cross multiply
    1,233.06x = 1,850.12 × 463.38
  4. Step 4: Simplify right side
    1,233.06x = 857,308.61
  5. Step 5: Solve for x
    x = 857,308.61/1,233.06
  6. Step 6: Final answer
    x = 695.27

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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.