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Finding the Fourth Proportional to 1,242.78, 1,863.49 and 462.75

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Solution

The fourth proportional to 1,242.78, 1,863.49 and 462.75 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.78 : 1,863.49 = 462.75 : x
  2. Step 2: Convert to fraction form
    1,242.78/1,863.49 = 462.75/x
  3. Step 3: Cross multiply
    1,242.78x = 1,863.49 × 462.75
  4. Step 4: Simplify right side
    1,242.78x = 862,318.37
  5. Step 5: Solve for x
    x = 862,318.37/1,242.78
  6. Step 6: Final answer
    x = 693.87

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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.