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Finding the Fourth Proportional to 1,646.44, 2,469.90 and 535.50

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Solution

The fourth proportional to 1,646.44, 2,469.90 and 535.50 is: 803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.44 : 2,469.90 = 535.50 : x
  2. Step 2: Convert to fraction form
    1,646.44/2,469.90 = 535.50/x
  3. Step 3: Cross multiply
    1,646.44x = 2,469.90 × 535.50
  4. Step 4: Simplify right side
    1,646.44x = 1,322,631.45
  5. Step 5: Solve for x
    x = 1,322,631.45/1,646.44
  6. Step 6: Final answer
    x = 803.33

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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.