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Finding the Fourth Proportional to 843.19, 1,265.33 and 323.62

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Solution

The fourth proportional to 843.19, 1,265.33 and 323.62 is: 485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.19 : 1,265.33 = 323.62 : x
  2. Step 2: Convert to fraction form
    843.19/1,265.33 = 323.62/x
  3. Step 3: Cross multiply
    843.19x = 1,265.33 × 323.62
  4. Step 4: Simplify right side
    843.19x = 409,483.74
  5. Step 5: Solve for x
    x = 409,483.74/843.19
  6. Step 6: Final answer
    x = 485.64

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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.