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Finding the Fourth Proportional to 655.40, 982.49 and 450.06

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Solution

The fourth proportional to 655.40, 982.49 and 450.06 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.40 : 982.49 = 450.06 : x
  2. Step 2: Convert to fraction form
    655.40/982.49 = 450.06/x
  3. Step 3: Cross multiply
    655.40x = 982.49 × 450.06
  4. Step 4: Simplify right side
    655.40x = 442,177.20
  5. Step 5: Solve for x
    x = 442,177.20/655.40
  6. Step 6: Final answer
    x = 674.67

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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.