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Finding the Fourth Proportional to 733.46, 1,100.18 and 294.74

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Solution

The fourth proportional to 733.46, 1,100.18 and 294.74 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,100.18 = 294.74 : x
  2. Step 2: Convert to fraction form
    733.46/1,100.18 = 294.74/x
  3. Step 3: Cross multiply
    733.46x = 1,100.18 × 294.74
  4. Step 4: Simplify right side
    733.46x = 324,266.41
  5. Step 5: Solve for x
    x = 324,266.41/733.46
  6. Step 6: Final answer
    x = 442.11

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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.