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Finding the Fourth Proportional to 892, 1,338.15 and 398.58

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Solution

The fourth proportional to 892, 1,338.15 and 398.58 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,338.15 = 398.58 : x
  2. Step 2: Convert to fraction form
    892/1,338.15 = 398.58/x
  3. Step 3: Cross multiply
    892x = 1,338.15 × 398.58
  4. Step 4: Simplify right side
    892x = 533,359.83
  5. Step 5: Solve for x
    x = 533,359.83/892
  6. Step 6: Final answer
    x = 597.94

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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.