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Finding the Fourth Proportional to 655.25, 980.45 and 576.80

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Solution

The fourth proportional to 655.25, 980.45 and 576.80 is: 863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.25 : 980.45 = 576.80 : x
  2. Step 2: Convert to fraction form
    655.25/980.45 = 576.80/x
  3. Step 3: Cross multiply
    655.25x = 980.45 × 576.80
  4. Step 4: Simplify right side
    655.25x = 565,520.10
  5. Step 5: Solve for x
    x = 565,520.10/655.25
  6. Step 6: Final answer
    x = 863.06

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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.