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Finding the Fourth Proportional to 1,202.82, 1,803.54 and 422.40

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Solution

The fourth proportional to 1,202.82, 1,803.54 and 422.40 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,803.54 = 422.40 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,803.54 = 422.40/x
  3. Step 3: Cross multiply
    1,202.82x = 1,803.54 × 422.40
  4. Step 4: Simplify right side
    1,202.82x = 761,815.30
  5. Step 5: Solve for x
    x = 761,815.30/1,202.82
  6. Step 6: Final answer
    x = 633.36

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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.