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Finding the Fourth Proportional to 454.86, 678.69 and 408.69

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Solution

The fourth proportional to 454.86, 678.69 and 408.69 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 678.69 = 408.69 : x
  2. Step 2: Convert to fraction form
    454.86/678.69 = 408.69/x
  3. Step 3: Cross multiply
    454.86x = 678.69 × 408.69
  4. Step 4: Simplify right side
    454.86x = 277,373.82
  5. Step 5: Solve for x
    x = 277,373.82/454.86
  6. Step 6: Final answer
    x = 609.80

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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.