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Finding the Fourth Proportional to 1,005.22, 1,388.37 and 888.58

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Solution

The fourth proportional to 1,005.22, 1,388.37 and 888.58 is: 1,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.22 : 1,388.37 = 888.58 : x
  2. Step 2: Convert to fraction form
    1,005.22/1,388.37 = 888.58/x
  3. Step 3: Cross multiply
    1,005.22x = 1,388.37 × 888.58
  4. Step 4: Simplify right side
    1,005.22x = 1,233,677.81
  5. Step 5: Solve for x
    x = 1,233,677.81/1,005.22
  6. Step 6: Final answer
    x = 1,227.27

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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.