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Finding the Fourth Proportional to 454.05, 677.25 and 414.26

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Solution

The fourth proportional to 454.05, 677.25 and 414.26 is: 617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.05 : 677.25 = 414.26 : x
  2. Step 2: Convert to fraction form
    454.05/677.25 = 414.26/x
  3. Step 3: Cross multiply
    454.05x = 677.25 × 414.26
  4. Step 4: Simplify right side
    454.05x = 280,557.59
  5. Step 5: Solve for x
    x = 280,557.59/454.05
  6. Step 6: Final answer
    x = 617.90

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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.