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Finding the Fourth Proportional to 891.38, 1,229.64 and 596.54

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Solution

The fourth proportional to 891.38, 1,229.64 and 596.54 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.38 : 1,229.64 = 596.54 : x
  2. Step 2: Convert to fraction form
    891.38/1,229.64 = 596.54/x
  3. Step 3: Cross multiply
    891.38x = 1,229.64 × 596.54
  4. Step 4: Simplify right side
    891.38x = 733,529.45
  5. Step 5: Solve for x
    x = 733,529.45/891.38
  6. Step 6: Final answer
    x = 822.91

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Double scale
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1.5x scale

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.