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Finding the Fourth Proportional to 892.42, 1,231.40 and 597.78

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Solution

The fourth proportional to 892.42, 1,231.40 and 597.78 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.42 : 1,231.40 = 597.78 : x
  2. Step 2: Convert to fraction form
    892.42/1,231.40 = 597.78/x
  3. Step 3: Cross multiply
    892.42x = 1,231.40 × 597.78
  4. Step 4: Simplify right side
    892.42x = 736,107.79
  5. Step 5: Solve for x
    x = 736,107.79/892.42
  6. Step 6: Final answer
    x = 824.85

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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.