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Finding the Fourth Proportional to 633, 948.27 and 323.94

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Solution

The fourth proportional to 633, 948.27 and 323.94 is: 485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 948.27 = 323.94 : x
  2. Step 2: Convert to fraction form
    633/948.27 = 323.94/x
  3. Step 3: Cross multiply
    633x = 948.27 × 323.94
  4. Step 4: Simplify right side
    633x = 307,182.58
  5. Step 5: Solve for x
    x = 307,182.58/633
  6. Step 6: Final answer
    x = 485.28

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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.