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Finding the Fourth Proportional to 1,242.74, 1,863.20 and 626.13

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Solution

The fourth proportional to 1,242.74, 1,863.20 and 626.13 is: 938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.74 : 1,863.20 = 626.13 : x
  2. Step 2: Convert to fraction form
    1,242.74/1,863.20 = 626.13/x
  3. Step 3: Cross multiply
    1,242.74x = 1,863.20 × 626.13
  4. Step 4: Simplify right side
    1,242.74x = 1,166,606.98
  5. Step 5: Solve for x
    x = 1,166,606.98/1,242.74
  6. Step 6: Final answer
    x = 938.74

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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.