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Finding the Fourth Proportional to 538.93, 808.68 and 408.89

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Solution

The fourth proportional to 538.93, 808.68 and 408.89 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.93 : 808.68 = 408.89 : x
  2. Step 2: Convert to fraction form
    538.93/808.68 = 408.89/x
  3. Step 3: Cross multiply
    538.93x = 808.68 × 408.89
  4. Step 4: Simplify right side
    538.93x = 330,659.12
  5. Step 5: Solve for x
    x = 330,659.12/538.93
  6. Step 6: Final answer
    x = 613.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.