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Finding the Fourth Proportional to 823.28, 1,134.42 and 613.04

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Solution

The fourth proportional to 823.28, 1,134.42 and 613.04 is: 844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.28 : 1,134.42 = 613.04 : x
  2. Step 2: Convert to fraction form
    823.28/1,134.42 = 613.04/x
  3. Step 3: Cross multiply
    823.28x = 1,134.42 × 613.04
  4. Step 4: Simplify right side
    823.28x = 695,444.84
  5. Step 5: Solve for x
    x = 695,444.84/823.28
  6. Step 6: Final answer
    x = 844.72

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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.