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Finding the Fourth Proportional to 655.64, 982.18 and 622.42

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Solution

The fourth proportional to 655.64, 982.18 and 622.42 is: 932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.64 : 982.18 = 622.42 : x
  2. Step 2: Convert to fraction form
    655.64/982.18 = 622.42/x
  3. Step 3: Cross multiply
    655.64x = 982.18 × 622.42
  4. Step 4: Simplify right side
    655.64x = 611,328.48
  5. Step 5: Solve for x
    x = 611,328.48/655.64
  6. Step 6: Final answer
    x = 932.41

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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.