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Finding the Fourth Proportional to 600.80, 900.50 and 327.02

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Solution

The fourth proportional to 600.80, 900.50 and 327.02 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 900.50 = 327.02 : x
  2. Step 2: Convert to fraction form
    600.80/900.50 = 327.02/x
  3. Step 3: Cross multiply
    600.80x = 900.50 × 327.02
  4. Step 4: Simplify right side
    600.80x = 294,481.51
  5. Step 5: Solve for x
    x = 294,481.51/600.80
  6. Step 6: Final answer
    x = 490.15

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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.