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Finding the Fourth Proportional to 578.28, 868.70 and 321.64

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Solution

The fourth proportional to 578.28, 868.70 and 321.64 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 868.70 = 321.64 : x
  2. Step 2: Convert to fraction form
    578.28/868.70 = 321.64/x
  3. Step 3: Cross multiply
    578.28x = 868.70 × 321.64
  4. Step 4: Simplify right side
    578.28x = 279,408.67
  5. Step 5: Solve for x
    x = 279,408.67/578.28
  6. Step 6: Final answer
    x = 483.17

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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.