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Finding the Fourth Proportional to 2,364.52, 3,546.50 and 633.28

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Solution

The fourth proportional to 2,364.52, 3,546.50 and 633.28 is: 949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.52 : 3,546.50 = 633.28 : x
  2. Step 2: Convert to fraction form
    2,364.52/3,546.50 = 633.28/x
  3. Step 3: Cross multiply
    2,364.52x = 3,546.50 × 633.28
  4. Step 4: Simplify right side
    2,364.52x = 2,245,927.52
  5. Step 5: Solve for x
    x = 2,245,927.52/2,364.52
  6. Step 6: Final answer
    x = 949.85

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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.