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Finding the Fourth Proportional to 872.46, 1,308.60 and 324.72

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Solution

The fourth proportional to 872.46, 1,308.60 and 324.72 is: 487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.46 : 1,308.60 = 324.72 : x
  2. Step 2: Convert to fraction form
    872.46/1,308.60 = 324.72/x
  3. Step 3: Cross multiply
    872.46x = 1,308.60 × 324.72
  4. Step 4: Simplify right side
    872.46x = 424,928.59
  5. Step 5: Solve for x
    x = 424,928.59/872.46
  6. Step 6: Final answer
    x = 487.05

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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.