Home / 728.25-1,091.37-337.40

Finding the Fourth Proportional to 728.25, 1,091.37 and 337.40

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Solution

The fourth proportional to 728.25, 1,091.37 and 337.40 is: 505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.25 : 1,091.37 = 337.40 : x
  2. Step 2: Convert to fraction form
    728.25/1,091.37 = 337.40/x
  3. Step 3: Cross multiply
    728.25x = 1,091.37 × 337.40
  4. Step 4: Simplify right side
    728.25x = 368,222.78
  5. Step 5: Solve for x
    x = 368,222.78/728.25
  6. Step 6: Final answer
    x = 505.63

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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.