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Finding the Fourth Proportional to 764.43, 1,145.20 and 438.81

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Solution

The fourth proportional to 764.43, 1,145.20 and 438.81 is: 657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.43 : 1,145.20 = 438.81 : x
  2. Step 2: Convert to fraction form
    764.43/1,145.20 = 438.81/x
  3. Step 3: Cross multiply
    764.43x = 1,145.20 × 438.81
  4. Step 4: Simplify right side
    764.43x = 502,517.29
  5. Step 5: Solve for x
    x = 502,517.29/764.43
  6. Step 6: Final answer
    x = 657.38

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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.