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Finding the Fourth Proportional to 936.52, 1,405.07 and 320.22

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Solution

The fourth proportional to 936.52, 1,405.07 and 320.22 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.52 : 1,405.07 = 320.22 : x
  2. Step 2: Convert to fraction form
    936.52/1,405.07 = 320.22/x
  3. Step 3: Cross multiply
    936.52x = 1,405.07 × 320.22
  4. Step 4: Simplify right side
    936.52x = 449,931.52
  5. Step 5: Solve for x
    x = 449,931.52/936.52
  6. Step 6: Final answer
    x = 480.43

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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.