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Finding the Fourth Proportional to 733.05, 1,011.50 and 438.25

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Solution

The fourth proportional to 733.05, 1,011.50 and 438.25 is: 604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.05 : 1,011.50 = 438.25 : x
  2. Step 2: Convert to fraction form
    733.05/1,011.50 = 438.25/x
  3. Step 3: Cross multiply
    733.05x = 1,011.50 × 438.25
  4. Step 4: Simplify right side
    733.05x = 443,289.88
  5. Step 5: Solve for x
    x = 443,289.88/733.05
  6. Step 6: Final answer
    x = 604.72

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