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Finding the Fourth Proportional to 455.10, 678.89 and 408.93

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Solution

The fourth proportional to 455.10, 678.89 and 408.93 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.10 : 678.89 = 408.93 : x
  2. Step 2: Convert to fraction form
    455.10/678.89 = 408.93/x
  3. Step 3: Cross multiply
    455.10x = 678.89 × 408.93
  4. Step 4: Simplify right side
    455.10x = 277,616.44
  5. Step 5: Solve for x
    x = 277,616.44/455.10
  6. Step 6: Final answer
    x = 610.01

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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.