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Finding the Fourth Proportional to 868.80, 1,199.94 and 584.73

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Solution

The fourth proportional to 868.80, 1,199.94 and 584.73 is: 807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.80 : 1,199.94 = 584.73 : x
  2. Step 2: Convert to fraction form
    868.80/1,199.94 = 584.73/x
  3. Step 3: Cross multiply
    868.80x = 1,199.94 × 584.73
  4. Step 4: Simplify right side
    868.80x = 701,640.92
  5. Step 5: Solve for x
    x = 701,640.92/868.80
  6. Step 6: Final answer
    x = 807.60

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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.