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Finding the Fourth Proportional to 578.95, 863.26 and 514.55

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Solution

The fourth proportional to 578.95, 863.26 and 514.55 is: 767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.95 : 863.26 = 514.55 : x
  2. Step 2: Convert to fraction form
    578.95/863.26 = 514.55/x
  3. Step 3: Cross multiply
    578.95x = 863.26 × 514.55
  4. Step 4: Simplify right side
    578.95x = 444,191.30
  5. Step 5: Solve for x
    x = 444,191.30/578.95
  6. Step 6: Final answer
    x = 767.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.