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Finding the Fourth Proportional to 1,152.45, 1,729.22 and 422.37

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Solution

The fourth proportional to 1,152.45, 1,729.22 and 422.37 is: 633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.45 : 1,729.22 = 422.37 : x
  2. Step 2: Convert to fraction form
    1,152.45/1,729.22 = 422.37/x
  3. Step 3: Cross multiply
    1,152.45x = 1,729.22 × 422.37
  4. Step 4: Simplify right side
    1,152.45x = 730,368.54
  5. Step 5: Solve for x
    x = 730,368.54/1,152.45
  6. Step 6: Final answer
    x = 633.75

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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.