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Finding the Fourth Proportional to 1,335.25, 1,841.84 and 862.39

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Solution

The fourth proportional to 1,335.25, 1,841.84 and 862.39 is: 1,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.25 : 1,841.84 = 862.39 : x
  2. Step 2: Convert to fraction form
    1,335.25/1,841.84 = 862.39/x
  3. Step 3: Cross multiply
    1,335.25x = 1,841.84 × 862.39
  4. Step 4: Simplify right side
    1,335.25x = 1,588,380.09
  5. Step 5: Solve for x
    x = 1,588,380.09/1,335.25
  6. Step 6: Final answer
    x = 1,189.58

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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.