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Finding the Fourth Proportional to 1,634.83, 2,256.08 and 888.79

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Solution

The fourth proportional to 1,634.83, 2,256.08 and 888.79 is: 1,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.83 : 2,256.08 = 888.79 : x
  2. Step 2: Convert to fraction form
    1,634.83/2,256.08 = 888.79/x
  3. Step 3: Cross multiply
    1,634.83x = 2,256.08 × 888.79
  4. Step 4: Simplify right side
    1,634.83x = 2,005,181.34
  5. Step 5: Solve for x
    x = 2,005,181.34/1,634.83
  6. Step 6: Final answer
    x = 1,226.54

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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.