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Finding the Fourth Proportional to 1,288.52, 1,932.35 and 422.63

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Solution

The fourth proportional to 1,288.52, 1,932.35 and 422.63 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.52 : 1,932.35 = 422.63 : x
  2. Step 2: Convert to fraction form
    1,288.52/1,932.35 = 422.63/x
  3. Step 3: Cross multiply
    1,288.52x = 1,932.35 × 422.63
  4. Step 4: Simplify right side
    1,288.52x = 816,657.31
  5. Step 5: Solve for x
    x = 816,657.31/1,288.52
  6. Step 6: Final answer
    x = 633.80

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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.