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Finding the Fourth Proportional to 633.35, 948.27 and 324.54

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Solution

The fourth proportional to 633.35, 948.27 and 324.54 is: 485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.35 : 948.27 = 324.54 : x
  2. Step 2: Convert to fraction form
    633.35/948.27 = 324.54/x
  3. Step 3: Cross multiply
    633.35x = 948.27 × 324.54
  4. Step 4: Simplify right side
    633.35x = 307,751.55
  5. Step 5: Solve for x
    x = 307,751.55/633.35
  6. Step 6: Final answer
    x = 485.91

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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.