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Finding the Fourth Proportional to 655.78, 982.23 and 611.86

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Solution

The fourth proportional to 655.78, 982.23 and 611.86 is: 916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.78 : 982.23 = 611.86 : x
  2. Step 2: Convert to fraction form
    655.78/982.23 = 611.86/x
  3. Step 3: Cross multiply
    655.78x = 982.23 × 611.86
  4. Step 4: Simplify right side
    655.78x = 600,987.25
  5. Step 5: Solve for x
    x = 600,987.25/655.78
  6. Step 6: Final answer
    x = 916.45

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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.