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Finding the Fourth Proportional to 912.92, 1,369.01 and 327.80

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Solution

The fourth proportional to 912.92, 1,369.01 and 327.80 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.92 : 1,369.01 = 327.80 : x
  2. Step 2: Convert to fraction form
    912.92/1,369.01 = 327.80/x
  3. Step 3: Cross multiply
    912.92x = 1,369.01 × 327.80
  4. Step 4: Simplify right side
    912.92x = 448,765.72
  5. Step 5: Solve for x
    x = 448,765.72/912.92
  6. Step 6: Final answer
    x = 491.57

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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.