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Finding the Fourth Proportional to 655.53, 982.77 and 308.68

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Solution

The fourth proportional to 655.53, 982.77 and 308.68 is: 462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.53 : 982.77 = 308.68 : x
  2. Step 2: Convert to fraction form
    655.53/982.77 = 308.68/x
  3. Step 3: Cross multiply
    655.53x = 982.77 × 308.68
  4. Step 4: Simplify right side
    655.53x = 303,357.83
  5. Step 5: Solve for x
    x = 303,357.83/655.53
  6. Step 6: Final answer
    x = 462.77

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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.