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Finding the Fourth Proportional to 600.91, 901.08 and 323.48

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Solution

The fourth proportional to 600.91, 901.08 and 323.48 is: 485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 901.08 = 323.48 : x
  2. Step 2: Convert to fraction form
    600.91/901.08 = 323.48/x
  3. Step 3: Cross multiply
    600.91x = 901.08 × 323.48
  4. Step 4: Simplify right side
    600.91x = 291,481.36
  5. Step 5: Solve for x
    x = 291,481.36/600.91
  6. Step 6: Final answer
    x = 485.07

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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.