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Finding the Fourth Proportional to 617.96, 853.14 and 408.08

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Solution

The fourth proportional to 617.96, 853.14 and 408.08 is: 563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 853.14 = 408.08 : x
  2. Step 2: Convert to fraction form
    617.96/853.14 = 408.08/x
  3. Step 3: Cross multiply
    617.96x = 853.14 × 408.08
  4. Step 4: Simplify right side
    617.96x = 348,149.37
  5. Step 5: Solve for x
    x = 348,149.37/617.96
  6. Step 6: Final answer
    x = 563.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.