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Finding the Fourth Proportional to 601.54, 902.45 and 254.90

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Solution

The fourth proportional to 601.54, 902.45 and 254.90 is: 382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.54 : 902.45 = 254.90 : x
  2. Step 2: Convert to fraction form
    601.54/902.45 = 254.90/x
  3. Step 3: Cross multiply
    601.54x = 902.45 × 254.90
  4. Step 4: Simplify right side
    601.54x = 230,034.51
  5. Step 5: Solve for x
    x = 230,034.51/601.54
  6. Step 6: Final answer
    x = 382.41

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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.