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Finding the Fourth Proportional to 868.66, 1,299.78 and 522.20

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Solution

The fourth proportional to 868.66, 1,299.78 and 522.20 is: 781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.66 : 1,299.78 = 522.20 : x
  2. Step 2: Convert to fraction form
    868.66/1,299.78 = 522.20/x
  3. Step 3: Cross multiply
    868.66x = 1,299.78 × 522.20
  4. Step 4: Simplify right side
    868.66x = 678,745.12
  5. Step 5: Solve for x
    x = 678,745.12/868.66
  6. Step 6: Final answer
    x = 781.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.