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Finding the Fourth Proportional to 1,243.29, 1,863.60 and 462.81

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Solution

The fourth proportional to 1,243.29, 1,863.60 and 462.81 is: 693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.29 : 1,863.60 = 462.81 : x
  2. Step 2: Convert to fraction form
    1,243.29/1,863.60 = 462.81/x
  3. Step 3: Cross multiply
    1,243.29x = 1,863.60 × 462.81
  4. Step 4: Simplify right side
    1,243.29x = 862,492.72
  5. Step 5: Solve for x
    x = 862,492.72/1,243.29
  6. Step 6: Final answer
    x = 693.72

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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.