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Finding the Fourth Proportional to 868.24, 1,198.74 and 537.15

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Solution

The fourth proportional to 868.24, 1,198.74 and 537.15 is: 741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.24 : 1,198.74 = 537.15 : x
  2. Step 2: Convert to fraction form
    868.24/1,198.74 = 537.15/x
  3. Step 3: Cross multiply
    868.24x = 1,198.74 × 537.15
  4. Step 4: Simplify right side
    868.24x = 643,903.19
  5. Step 5: Solve for x
    x = 643,903.19/868.24
  6. Step 6: Final answer
    x = 741.62

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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.