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Finding the Fourth Proportional to 1,092.06, 1,634.88 and 848.79

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Solution

The fourth proportional to 1,092.06, 1,634.88 and 848.79 is: 1,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.06 : 1,634.88 = 848.79 : x
  2. Step 2: Convert to fraction form
    1,092.06/1,634.88 = 848.79/x
  3. Step 3: Cross multiply
    1,092.06x = 1,634.88 × 848.79
  4. Step 4: Simplify right side
    1,092.06x = 1,387,669.80
  5. Step 5: Solve for x
    x = 1,387,669.80/1,092.06
  6. Step 6: Final answer
    x = 1,270.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.