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Finding the Fourth Proportional to 733.14, 1,100.25 and 322.74

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Solution

The fourth proportional to 733.14, 1,100.25 and 322.74 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.14 : 1,100.25 = 322.74 : x
  2. Step 2: Convert to fraction form
    733.14/1,100.25 = 322.74/x
  3. Step 3: Cross multiply
    733.14x = 1,100.25 × 322.74
  4. Step 4: Simplify right side
    733.14x = 355,094.69
  5. Step 5: Solve for x
    x = 355,094.69/733.14
  6. Step 6: Final answer
    x = 484.35

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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.