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Finding the Fourth Proportional to 733.33, 1,011.98 and 438.43

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Solution

The fourth proportional to 733.33, 1,011.98 and 438.43 is: 605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.33 : 1,011.98 = 438.43 : x
  2. Step 2: Convert to fraction form
    733.33/1,011.98 = 438.43/x
  3. Step 3: Cross multiply
    733.33x = 1,011.98 × 438.43
  4. Step 4: Simplify right side
    733.33x = 443,675.14
  5. Step 5: Solve for x
    x = 443,675.14/733.33
  6. Step 6: Final answer
    x = 605.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.