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Finding the Fourth Proportional to 1,335.92, 1,843.43 and 893.05

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Solution

The fourth proportional to 1,335.92, 1,843.43 and 893.05 is: 1,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.92 : 1,843.43 = 893.05 : x
  2. Step 2: Convert to fraction form
    1,335.92/1,843.43 = 893.05/x
  3. Step 3: Cross multiply
    1,335.92x = 1,843.43 × 893.05
  4. Step 4: Simplify right side
    1,335.92x = 1,646,266.09
  5. Step 5: Solve for x
    x = 1,646,266.09/1,335.92
  6. Step 6: Final answer
    x = 1,232.31

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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.