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Finding the Fourth Proportional to 655.97, 982.40 and 363.02

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Solution

The fourth proportional to 655.97, 982.40 and 363.02 is: 543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 982.40 = 363.02 : x
  2. Step 2: Convert to fraction form
    655.97/982.40 = 363.02/x
  3. Step 3: Cross multiply
    655.97x = 982.40 × 363.02
  4. Step 4: Simplify right side
    655.97x = 356,624.12
  5. Step 5: Solve for x
    x = 356,624.12/655.97
  6. Step 6: Final answer
    x = 543.66

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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.