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Finding the Fourth Proportional to 834.48, 1,244.54 and 819.10

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Solution

The fourth proportional to 834.48, 1,244.54 and 819.10 is: 1,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.48 : 1,244.54 = 819.10 : x
  2. Step 2: Convert to fraction form
    834.48/1,244.54 = 819.10/x
  3. Step 3: Cross multiply
    834.48x = 1,244.54 × 819.10
  4. Step 4: Simplify right side
    834.48x = 1,019,402.26
  5. Step 5: Solve for x
    x = 1,019,402.26/834.48
  6. Step 6: Final answer
    x = 1,221.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.