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Finding the Fourth Proportional to 728.16, 1,093.36 and 691.52

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Solution

The fourth proportional to 728.16, 1,093.36 and 691.52 is: 1,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.16 : 1,093.36 = 691.52 : x
  2. Step 2: Convert to fraction form
    728.16/1,093.36 = 691.52/x
  3. Step 3: Cross multiply
    728.16x = 1,093.36 × 691.52
  4. Step 4: Simplify right side
    728.16x = 756,080.31
  5. Step 5: Solve for x
    x = 756,080.31/728.16
  6. Step 6: Final answer
    x = 1,038.34

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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.