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Finding the Fourth Proportional to 822.11, 1,230.86 and 757.53

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Solution

The fourth proportional to 822.11, 1,230.86 and 757.53 is: 1,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.11 : 1,230.86 = 757.53 : x
  2. Step 2: Convert to fraction form
    822.11/1,230.86 = 757.53/x
  3. Step 3: Cross multiply
    822.11x = 1,230.86 × 757.53
  4. Step 4: Simplify right side
    822.11x = 932,415.27
  5. Step 5: Solve for x
    x = 932,415.27/822.11
  6. Step 6: Final answer
    x = 1,134.18

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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.