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Finding the Fourth Proportional to 1,335.80, 1,843.62 and 838.51

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Solution

The fourth proportional to 1,335.80, 1,843.62 and 838.51 is: 1,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.80 : 1,843.62 = 838.51 : x
  2. Step 2: Convert to fraction form
    1,335.80/1,843.62 = 838.51/x
  3. Step 3: Cross multiply
    1,335.80x = 1,843.62 × 838.51
  4. Step 4: Simplify right side
    1,335.80x = 1,545,893.60
  5. Step 5: Solve for x
    x = 1,545,893.60/1,335.80
  6. Step 6: Final answer
    x = 1,157.28

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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.