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Finding the Fourth Proportional to 728.32, 1,096.72 and 537.28

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Solution

The fourth proportional to 728.32, 1,096.72 and 537.28 is: 809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,096.72 = 537.28 : x
  2. Step 2: Convert to fraction form
    728.32/1,096.72 = 537.28/x
  3. Step 3: Cross multiply
    728.32x = 1,096.72 × 537.28
  4. Step 4: Simplify right side
    728.32x = 589,245.72
  5. Step 5: Solve for x
    x = 589,245.72/728.32
  6. Step 6: Final answer
    x = 809.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.