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Finding the Fourth Proportional to 764.14, 1,145.69 and 353.05

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Solution

The fourth proportional to 764.14, 1,145.69 and 353.05 is: 529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.14 : 1,145.69 = 353.05 : x
  2. Step 2: Convert to fraction form
    764.14/1,145.69 = 353.05/x
  3. Step 3: Cross multiply
    764.14x = 1,145.69 × 353.05
  4. Step 4: Simplify right side
    764.14x = 404,480.13
  5. Step 5: Solve for x
    x = 404,480.13/764.14
  6. Step 6: Final answer
    x = 529.33

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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.