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Finding the Fourth Proportional to 728.22, 1,091.46 and 337.70

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Solution

The fourth proportional to 728.22, 1,091.46 and 337.70 is: 506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.22 : 1,091.46 = 337.70 : x
  2. Step 2: Convert to fraction form
    728.22/1,091.46 = 337.70/x
  3. Step 3: Cross multiply
    728.22x = 1,091.46 × 337.70
  4. Step 4: Simplify right side
    728.22x = 368,580.58
  5. Step 5: Solve for x
    x = 368,580.58/728.22
  6. Step 6: Final answer
    x = 506.14

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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.