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Finding the Fourth Proportional to 653.67, 980.42 and 220.77

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Solution

The fourth proportional to 653.67, 980.42 and 220.77 is: 331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 980.42 = 220.77 : x
  2. Step 2: Convert to fraction form
    653.67/980.42 = 220.77/x
  3. Step 3: Cross multiply
    653.67x = 980.42 × 220.77
  4. Step 4: Simplify right side
    653.67x = 216,446.22
  5. Step 5: Solve for x
    x = 216,446.22/653.67
  6. Step 6: Final answer
    x = 331.12

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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.