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Finding the Fourth Proportional to 655.18, 982.77 and 398.14

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Solution

The fourth proportional to 655.18, 982.77 and 398.14 is: 597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.18 : 982.77 = 398.14 : x
  2. Step 2: Convert to fraction form
    655.18/982.77 = 398.14/x
  3. Step 3: Cross multiply
    655.18x = 982.77 × 398.14
  4. Step 4: Simplify right side
    655.18x = 391,280.05
  5. Step 5: Solve for x
    x = 391,280.05/655.18
  6. Step 6: Final answer
    x = 597.21

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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.