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Finding the Fourth Proportional to 578.45, 868.62 and 549.22

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Solution

The fourth proportional to 578.45, 868.62 and 549.22 is: 824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.45 : 868.62 = 549.22 : x
  2. Step 2: Convert to fraction form
    578.45/868.62 = 549.22/x
  3. Step 3: Cross multiply
    578.45x = 868.62 × 549.22
  4. Step 4: Simplify right side
    578.45x = 477,059.13
  5. Step 5: Solve for x
    x = 477,059.13/578.45
  6. Step 6: Final answer
    x = 824.73

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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.