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Finding the Fourth Proportional to 867.57, 1,198.13 and 657.38

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Solution

The fourth proportional to 867.57, 1,198.13 and 657.38 is: 907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.57 : 1,198.13 = 657.38 : x
  2. Step 2: Convert to fraction form
    867.57/1,198.13 = 657.38/x
  3. Step 3: Cross multiply
    867.57x = 1,198.13 × 657.38
  4. Step 4: Simplify right side
    867.57x = 787,617.42
  5. Step 5: Solve for x
    x = 787,617.42/867.57
  6. Step 6: Final answer
    x = 907.84

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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.