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Finding the Fourth Proportional to 655.60, 982.68 and 270.64

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Solution

The fourth proportional to 655.60, 982.68 and 270.64 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.60 : 982.68 = 270.64 : x
  2. Step 2: Convert to fraction form
    655.60/982.68 = 270.64/x
  3. Step 3: Cross multiply
    655.60x = 982.68 × 270.64
  4. Step 4: Simplify right side
    655.60x = 265,952.52
  5. Step 5: Solve for x
    x = 265,952.52/655.60
  6. Step 6: Final answer
    x = 405.66

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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.