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Finding the Fourth Proportional to 655.53, 986.04 and 650.04

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Solution

The fourth proportional to 655.53, 986.04 and 650.04 is: 977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.53 : 986.04 = 650.04 : x
  2. Step 2: Convert to fraction form
    655.53/986.04 = 650.04/x
  3. Step 3: Cross multiply
    655.53x = 986.04 × 650.04
  4. Step 4: Simplify right side
    655.53x = 640,965.44
  5. Step 5: Solve for x
    x = 640,965.44/655.53
  6. Step 6: Final answer
    x = 977.78

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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.