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Finding the Fourth Proportional to 939.09, 1,408.64 and 289.74

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Solution

The fourth proportional to 939.09, 1,408.64 and 289.74 is: 434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.09 : 1,408.64 = 289.74 : x
  2. Step 2: Convert to fraction form
    939.09/1,408.64 = 289.74/x
  3. Step 3: Cross multiply
    939.09x = 1,408.64 × 289.74
  4. Step 4: Simplify right side
    939.09x = 408,139.35
  5. Step 5: Solve for x
    x = 408,139.35/939.09
  6. Step 6: Final answer
    x = 434.61

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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.