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Finding the Fourth Proportional to 763.22, 1,144.83 and 438.38

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Solution

The fourth proportional to 763.22, 1,144.83 and 438.38 is: 657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.22 : 1,144.83 = 438.38 : x
  2. Step 2: Convert to fraction form
    763.22/1,144.83 = 438.38/x
  3. Step 3: Cross multiply
    763.22x = 1,144.83 × 438.38
  4. Step 4: Simplify right side
    763.22x = 501,870.58
  5. Step 5: Solve for x
    x = 501,870.58/763.22
  6. Step 6: Final answer
    x = 657.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.