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Finding the Fourth Proportional to 938.76, 1,408.37 and 289.49

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Solution

The fourth proportional to 938.76, 1,408.37 and 289.49 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.76 : 1,408.37 = 289.49 : x
  2. Step 2: Convert to fraction form
    938.76/1,408.37 = 289.49/x
  3. Step 3: Cross multiply
    938.76x = 1,408.37 × 289.49
  4. Step 4: Simplify right side
    938.76x = 407,700.54
  5. Step 5: Solve for x
    x = 407,700.54/938.76
  6. Step 6: Final answer
    x = 434.30

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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.