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Finding the Fourth Proportional to 867.38, 1,198.34 and 824.71

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Solution

The fourth proportional to 867.38, 1,198.34 and 824.71 is: 1,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.38 : 1,198.34 = 824.71 : x
  2. Step 2: Convert to fraction form
    867.38/1,198.34 = 824.71/x
  3. Step 3: Cross multiply
    867.38x = 1,198.34 × 824.71
  4. Step 4: Simplify right side
    867.38x = 988,272.87
  5. Step 5: Solve for x
    x = 988,272.87/867.38
  6. Step 6: Final answer
    x = 1,139.38

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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.