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Finding the Fourth Proportional to 633.68, 948.18 and 401.48

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Solution

The fourth proportional to 633.68, 948.18 and 401.48 is: 600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 948.18 = 401.48 : x
  2. Step 2: Convert to fraction form
    633.68/948.18 = 401.48/x
  3. Step 3: Cross multiply
    633.68x = 948.18 × 401.48
  4. Step 4: Simplify right side
    633.68x = 380,670.57
  5. Step 5: Solve for x
    x = 380,670.57/633.68
  6. Step 6: Final answer
    x = 600.73

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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.