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Finding the Fourth Proportional to 822.48, 1,132.02 and 762.81

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Solution

The fourth proportional to 822.48, 1,132.02 and 762.81 is: 1,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.48 : 1,132.02 = 762.81 : x
  2. Step 2: Convert to fraction form
    822.48/1,132.02 = 762.81/x
  3. Step 3: Cross multiply
    822.48x = 1,132.02 × 762.81
  4. Step 4: Simplify right side
    822.48x = 863,516.18
  5. Step 5: Solve for x
    x = 863,516.18/822.48
  6. Step 6: Final answer
    x = 1,049.89

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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.