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Finding the Fourth Proportional to 867.92, 1,198.26 and 536.63

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Solution

The fourth proportional to 867.92, 1,198.26 and 536.63 is: 740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.92 : 1,198.26 = 536.63 : x
  2. Step 2: Convert to fraction form
    867.92/1,198.26 = 536.63/x
  3. Step 3: Cross multiply
    867.92x = 1,198.26 × 536.63
  4. Step 4: Simplify right side
    867.92x = 643,016.27
  5. Step 5: Solve for x
    x = 643,016.27/867.92
  6. Step 6: Final answer
    x = 740.87

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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.