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Finding the Fourth Proportional to 655.52, 980.40 and 534.56

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Solution

The fourth proportional to 655.52, 980.40 and 534.56 is: 799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.52 : 980.40 = 534.56 : x
  2. Step 2: Convert to fraction form
    655.52/980.40 = 534.56/x
  3. Step 3: Cross multiply
    655.52x = 980.40 × 534.56
  4. Step 4: Simplify right side
    655.52x = 524,082.62
  5. Step 5: Solve for x
    x = 524,082.62/655.52
  6. Step 6: Final answer
    x = 799.49

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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.