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Finding the Fourth Proportional to 454.82, 677.76 and 440.12

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Solution

The fourth proportional to 454.82, 677.76 and 440.12 is: 655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.82 : 677.76 = 440.12 : x
  2. Step 2: Convert to fraction form
    454.82/677.76 = 440.12/x
  3. Step 3: Cross multiply
    454.82x = 677.76 × 440.12
  4. Step 4: Simplify right side
    454.82x = 298,295.73
  5. Step 5: Solve for x
    x = 298,295.73/454.82
  6. Step 6: Final answer
    x = 655.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.