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Finding the Fourth Proportional to 939.42, 1,408.37 and 392.00

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Solution

The fourth proportional to 939.42, 1,408.37 and 392.00 is: 587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.42 : 1,408.37 = 392.00 : x
  2. Step 2: Convert to fraction form
    939.42/1,408.37 = 392.00/x
  3. Step 3: Cross multiply
    939.42x = 1,408.37 × 392.00
  4. Step 4: Simplify right side
    939.42x = 552,072.04
  5. Step 5: Solve for x
    x = 552,072.04/939.42
  6. Step 6: Final answer
    x = 587.67

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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.