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Finding the Fourth Proportional to 764.09, 1,145.84 and 270.35

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Solution

The fourth proportional to 764.09, 1,145.84 and 270.35 is: 405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.09 : 1,145.84 = 270.35 : x
  2. Step 2: Convert to fraction form
    764.09/1,145.84 = 270.35/x
  3. Step 3: Cross multiply
    764.09x = 1,145.84 × 270.35
  4. Step 4: Simplify right side
    764.09x = 309,776.49
  5. Step 5: Solve for x
    x = 309,776.49/764.09
  6. Step 6: Final answer
    x = 405.42

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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.