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Finding the Fourth Proportional to 454.14, 677.66 and 408.17

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Solution

The fourth proportional to 454.14, 677.66 and 408.17 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 677.66 = 408.17 : x
  2. Step 2: Convert to fraction form
    454.14/677.66 = 408.17/x
  3. Step 3: Cross multiply
    454.14x = 677.66 × 408.17
  4. Step 4: Simplify right side
    454.14x = 276,600.14
  5. Step 5: Solve for x
    x = 276,600.14/454.14
  6. Step 6: Final answer
    x = 609.06

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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.