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Finding the Fourth Proportional to 1,650.50, 2,475.89 and 496.25

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Solution

The fourth proportional to 1,650.50, 2,475.89 and 496.25 is: 744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.50 : 2,475.89 = 496.25 : x
  2. Step 2: Convert to fraction form
    1,650.50/2,475.89 = 496.25/x
  3. Step 3: Cross multiply
    1,650.50x = 2,475.89 × 496.25
  4. Step 4: Simplify right side
    1,650.50x = 1,228,660.41
  5. Step 5: Solve for x
    x = 1,228,660.41/1,650.50
  6. Step 6: Final answer
    x = 744.42

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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.