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Finding the Fourth Proportional to 1,202.52, 1,661.04 and 888.48

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Solution

The fourth proportional to 1,202.52, 1,661.04 and 888.48 is: 1,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.52 : 1,661.04 = 888.48 : x
  2. Step 2: Convert to fraction form
    1,202.52/1,661.04 = 888.48/x
  3. Step 3: Cross multiply
    1,202.52x = 1,661.04 × 888.48
  4. Step 4: Simplify right side
    1,202.52x = 1,475,800.82
  5. Step 5: Solve for x
    x = 1,475,800.82/1,202.52
  6. Step 6: Final answer
    x = 1,227.26

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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.