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Finding the Fourth Proportional to 733.04, 1,099.38 and 322.28

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Solution

The fourth proportional to 733.04, 1,099.38 and 322.28 is: 483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.04 : 1,099.38 = 322.28 : x
  2. Step 2: Convert to fraction form
    733.04/1,099.38 = 322.28/x
  3. Step 3: Cross multiply
    733.04x = 1,099.38 × 322.28
  4. Step 4: Simplify right side
    733.04x = 354,308.19
  5. Step 5: Solve for x
    x = 354,308.19/733.04
  6. Step 6: Final answer
    x = 483.34

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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.