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Finding the Fourth Proportional to 838.28, 1,260.12 and 812.36

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Solution

The fourth proportional to 838.28, 1,260.12 and 812.36 is: 1,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.28 : 1,260.12 = 812.36 : x
  2. Step 2: Convert to fraction form
    838.28/1,260.12 = 812.36/x
  3. Step 3: Cross multiply
    838.28x = 1,260.12 × 812.36
  4. Step 4: Simplify right side
    838.28x = 1,023,671.08
  5. Step 5: Solve for x
    x = 1,023,671.08/838.28
  6. Step 6: Final answer
    x = 1,221.16

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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.