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Finding the Fourth Proportional to 578.56, 868.08 and 322

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Solution

The fourth proportional to 578.56, 868.08 and 322 is: 483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 868.08 = 322 : x
  2. Step 2: Convert to fraction form
    578.56/868.08 = 322/x
  3. Step 3: Cross multiply
    578.56x = 868.08 × 322
  4. Step 4: Simplify right side
    578.56x = 279,521.76
  5. Step 5: Solve for x
    x = 279,521.76/578.56
  6. Step 6: Final answer
    x = 483.13

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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.