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Finding the Fourth Proportional to 454.73, 678.51 and 408.74

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Solution

The fourth proportional to 454.73, 678.51 and 408.74 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.73 : 678.51 = 408.74 : x
  2. Step 2: Convert to fraction form
    454.73/678.51 = 408.74/x
  3. Step 3: Cross multiply
    454.73x = 678.51 × 408.74
  4. Step 4: Simplify right side
    454.73x = 277,330.78
  5. Step 5: Solve for x
    x = 277,330.78/454.73
  6. Step 6: Final answer
    x = 609.89

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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.