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Finding the Fourth Proportional to 900.97, 1,350.64 and 323.71

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Solution

The fourth proportional to 900.97, 1,350.64 and 323.71 is: 485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.97 : 1,350.64 = 323.71 : x
  2. Step 2: Convert to fraction form
    900.97/1,350.64 = 323.71/x
  3. Step 3: Cross multiply
    900.97x = 1,350.64 × 323.71
  4. Step 4: Simplify right side
    900.97x = 437,212.70
  5. Step 5: Solve for x
    x = 437,212.70/900.97
  6. Step 6: Final answer
    x = 485.27

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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.