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Finding the Fourth Proportional to 1,100.52, 1,650.74 and 331

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Solution

The fourth proportional to 1,100.52, 1,650.74 and 331 is: 496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.52 : 1,650.74 = 331 : x
  2. Step 2: Convert to fraction form
    1,100.52/1,650.74 = 331/x
  3. Step 3: Cross multiply
    1,100.52x = 1,650.74 × 331
  4. Step 4: Simplify right side
    1,100.52x = 546,394.94
  5. Step 5: Solve for x
    x = 546,394.94/1,100.52
  6. Step 6: Final answer
    x = 496.49

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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.