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Finding the Fourth Proportional to 633.38, 948.39 and 509.37

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Solution

The fourth proportional to 633.38, 948.39 and 509.37 is: 762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.38 : 948.39 = 509.37 : x
  2. Step 2: Convert to fraction form
    633.38/948.39 = 509.37/x
  3. Step 3: Cross multiply
    633.38x = 948.39 × 509.37
  4. Step 4: Simplify right side
    633.38x = 483,081.41
  5. Step 5: Solve for x
    x = 483,081.41/633.38
  6. Step 6: Final answer
    x = 762.71

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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.