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Finding the Fourth Proportional to 1,137.70, 1,571.25 and 888.64

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Solution

The fourth proportional to 1,137.70, 1,571.25 and 888.64 is: 1,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.70 : 1,571.25 = 888.64 : x
  2. Step 2: Convert to fraction form
    1,137.70/1,571.25 = 888.64/x
  3. Step 3: Cross multiply
    1,137.70x = 1,571.25 × 888.64
  4. Step 4: Simplify right side
    1,137.70x = 1,396,276.13
  5. Step 5: Solve for x
    x = 1,396,276.13/1,137.70
  6. Step 6: Final answer
    x = 1,227.28

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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.