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Finding the Fourth Proportional to 1,657.97, 2,287.94 and 911.85

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Solution

The fourth proportional to 1,657.97, 2,287.94 and 911.85 is: 1,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.97 : 2,287.94 = 911.85 : x
  2. Step 2: Convert to fraction form
    1,657.97/2,287.94 = 911.85/x
  3. Step 3: Cross multiply
    1,657.97x = 2,287.94 × 911.85
  4. Step 4: Simplify right side
    1,657.97x = 2,086,253.53
  5. Step 5: Solve for x
    x = 2,086,253.53/1,657.97
  6. Step 6: Final answer
    x = 1,258.32

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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.