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Finding the Fourth Proportional to 938.74, 1,408.11 and 289.47

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Solution

The fourth proportional to 938.74, 1,408.11 and 289.47 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.74 : 1,408.11 = 289.47 : x
  2. Step 2: Convert to fraction form
    938.74/1,408.11 = 289.47/x
  3. Step 3: Cross multiply
    938.74x = 1,408.11 × 289.47
  4. Step 4: Simplify right side
    938.74x = 407,605.60
  5. Step 5: Solve for x
    x = 407,605.60/938.74
  6. Step 6: Final answer
    x = 434.21

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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.