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Finding the Fourth Proportional to 601.67, 902.85 and 254.97

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Solution

The fourth proportional to 601.67, 902.85 and 254.97 is: 382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.67 : 902.85 = 254.97 : x
  2. Step 2: Convert to fraction form
    601.67/902.85 = 254.97/x
  3. Step 3: Cross multiply
    601.67x = 902.85 × 254.97
  4. Step 4: Simplify right side
    601.67x = 230,199.66
  5. Step 5: Solve for x
    x = 230,199.66/601.67
  6. Step 6: Final answer
    x = 382.60

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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.