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Finding the Fourth Proportional to 823.57, 1,233.73 and 757.15

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Solution

The fourth proportional to 823.57, 1,233.73 and 757.15 is: 1,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,233.73 = 757.15 : x
  2. Step 2: Convert to fraction form
    823.57/1,233.73 = 757.15/x
  3. Step 3: Cross multiply
    823.57x = 1,233.73 × 757.15
  4. Step 4: Simplify right side
    823.57x = 934,116.53
  5. Step 5: Solve for x
    x = 934,116.53/823.57
  6. Step 6: Final answer
    x = 1,134.23

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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.