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Finding the Fourth Proportional to 653.97, 980.24 and 311.25

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Solution

The fourth proportional to 653.97, 980.24 and 311.25 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.97 : 980.24 = 311.25 : x
  2. Step 2: Convert to fraction form
    653.97/980.24 = 311.25/x
  3. Step 3: Cross multiply
    653.97x = 980.24 × 311.25
  4. Step 4: Simplify right side
    653.97x = 305,098.14
  5. Step 5: Solve for x
    x = 305,098.14/653.97
  6. Step 6: Final answer
    x = 466.53

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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.