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Finding the Fourth Proportional to 454.16, 677.72 and 408.36

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Solution

The fourth proportional to 454.16, 677.72 and 408.36 is: 609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.16 : 677.72 = 408.36 : x
  2. Step 2: Convert to fraction form
    454.16/677.72 = 408.36/x
  3. Step 3: Cross multiply
    454.16x = 677.72 × 408.36
  4. Step 4: Simplify right side
    454.16x = 276,753.74
  5. Step 5: Solve for x
    x = 276,753.74/454.16
  6. Step 6: Final answer
    x = 609.37

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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.