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Finding the Fourth Proportional to 939.65, 1,408.57 and 392.31

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Solution

The fourth proportional to 939.65, 1,408.57 and 392.31 is: 588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.65 : 1,408.57 = 392.31 : x
  2. Step 2: Convert to fraction form
    939.65/1,408.57 = 392.31/x
  3. Step 3: Cross multiply
    939.65x = 1,408.57 × 392.31
  4. Step 4: Simplify right side
    939.65x = 552,595.12
  5. Step 5: Solve for x
    x = 552,595.12/939.65
  6. Step 6: Final answer
    x = 588.09

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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.