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Finding the Fourth Proportional to 1,765.73, 2,649.09 and 533.15

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Solution

The fourth proportional to 1,765.73, 2,649.09 and 533.15 is: 799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.73 : 2,649.09 = 533.15 : x
  2. Step 2: Convert to fraction form
    1,765.73/2,649.09 = 533.15/x
  3. Step 3: Cross multiply
    1,765.73x = 2,649.09 × 533.15
  4. Step 4: Simplify right side
    1,765.73x = 1,412,362.33
  5. Step 5: Solve for x
    x = 1,412,362.33/1,765.73
  6. Step 6: Final answer
    x = 799.87

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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.