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Finding the Fourth Proportional to 796.91, 1,099.36 and 531.28

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Solution

The fourth proportional to 796.91, 1,099.36 and 531.28 is: 732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.91 : 1,099.36 = 531.28 : x
  2. Step 2: Convert to fraction form
    796.91/1,099.36 = 531.28/x
  3. Step 3: Cross multiply
    796.91x = 1,099.36 × 531.28
  4. Step 4: Simplify right side
    796.91x = 584,060.85
  5. Step 5: Solve for x
    x = 584,060.85/796.91
  6. Step 6: Final answer
    x = 732.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.