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Finding the Fourth Proportional to 843.81, 1,265.91 and 356.58

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Solution

The fourth proportional to 843.81, 1,265.91 and 356.58 is: 534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.81 : 1,265.91 = 356.58 : x
  2. Step 2: Convert to fraction form
    843.81/1,265.91 = 356.58/x
  3. Step 3: Cross multiply
    843.81x = 1,265.91 × 356.58
  4. Step 4: Simplify right side
    843.81x = 451,398.19
  5. Step 5: Solve for x
    x = 451,398.19/843.81
  6. Step 6: Final answer
    x = 534.95

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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.