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Finding the Fourth Proportional to 824.81, 1,230.96 and 791.33

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Solution

The fourth proportional to 824.81, 1,230.96 and 791.33 is: 1,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.81 : 1,230.96 = 791.33 : x
  2. Step 2: Convert to fraction form
    824.81/1,230.96 = 791.33/x
  3. Step 3: Cross multiply
    824.81x = 1,230.96 × 791.33
  4. Step 4: Simplify right side
    824.81x = 974,089.42
  5. Step 5: Solve for x
    x = 974,089.42/824.81
  6. Step 6: Final answer
    x = 1,180.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.