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Finding the Fourth Proportional to 601.49, 903 and 327.77

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Solution

The fourth proportional to 601.49, 903 and 327.77 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 903 = 327.77 : x
  2. Step 2: Convert to fraction form
    601.49/903 = 327.77/x
  3. Step 3: Cross multiply
    601.49x = 903 × 327.77
  4. Step 4: Simplify right side
    601.49x = 295,976.31
  5. Step 5: Solve for x
    x = 295,976.31/601.49
  6. Step 6: Final answer
    x = 492.07

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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.