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Finding the Fourth Proportional to 868.95, 1,198.20 and 588.69

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Solution

The fourth proportional to 868.95, 1,198.20 and 588.69 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.95 : 1,198.20 = 588.69 : x
  2. Step 2: Convert to fraction form
    868.95/1,198.20 = 588.69/x
  3. Step 3: Cross multiply
    868.95x = 1,198.20 × 588.69
  4. Step 4: Simplify right side
    868.95x = 705,368.36
  5. Step 5: Solve for x
    x = 705,368.36/868.95
  6. Step 6: Final answer
    x = 811.75

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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.