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Finding the Fourth Proportional to 868.94, 1,199.27 and 519.83

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Solution

The fourth proportional to 868.94, 1,199.27 and 519.83 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.94 : 1,199.27 = 519.83 : x
  2. Step 2: Convert to fraction form
    868.94/1,199.27 = 519.83/x
  3. Step 3: Cross multiply
    868.94x = 1,199.27 × 519.83
  4. Step 4: Simplify right side
    868.94x = 623,416.52
  5. Step 5: Solve for x
    x = 623,416.52/868.94
  6. Step 6: Final answer
    x = 717.44

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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.