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Finding the Fourth Proportional to 655.42, 982.79 and 531.69

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Solution

The fourth proportional to 655.42, 982.79 and 531.69 is: 797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.42 : 982.79 = 531.69 : x
  2. Step 2: Convert to fraction form
    655.42/982.79 = 531.69/x
  3. Step 3: Cross multiply
    655.42x = 982.79 × 531.69
  4. Step 4: Simplify right side
    655.42x = 522,542.07
  5. Step 5: Solve for x
    x = 522,542.07/655.42
  6. Step 6: Final answer
    x = 797.26

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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.