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Finding the Fourth Proportional to 1,335.29, 1,843.66 and 963.09

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Solution

The fourth proportional to 1,335.29, 1,843.66 and 963.09 is: 1,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.29 : 1,843.66 = 963.09 : x
  2. Step 2: Convert to fraction form
    1,335.29/1,843.66 = 963.09/x
  3. Step 3: Cross multiply
    1,335.29x = 1,843.66 × 963.09
  4. Step 4: Simplify right side
    1,335.29x = 1,775,611.71
  5. Step 5: Solve for x
    x = 1,775,611.71/1,335.29
  6. Step 6: Final answer
    x = 1,329.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.