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Finding the Fourth Proportional to 655.24, 980.34 and 480.76

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Solution

The fourth proportional to 655.24, 980.34 and 480.76 is: 719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.24 : 980.34 = 480.76 : x
  2. Step 2: Convert to fraction form
    655.24/980.34 = 480.76/x
  3. Step 3: Cross multiply
    655.24x = 980.34 × 480.76
  4. Step 4: Simplify right side
    655.24x = 471,308.26
  5. Step 5: Solve for x
    x = 471,308.26/655.24
  6. Step 6: Final answer
    x = 719.29

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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.