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Finding the Fourth Proportional to 632.43, 948 and 401.49

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Solution

The fourth proportional to 632.43, 948 and 401.49 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.43 : 948 = 401.49 : x
  2. Step 2: Convert to fraction form
    632.43/948 = 401.49/x
  3. Step 3: Cross multiply
    632.43x = 948 × 401.49
  4. Step 4: Simplify right side
    632.43x = 380,612.52
  5. Step 5: Solve for x
    x = 380,612.52/632.43
  6. Step 6: Final answer
    x = 601.83

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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.