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Finding the Fourth Proportional to 939.62, 1,408.66 and 392.21

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Solution

The fourth proportional to 939.62, 1,408.66 and 392.21 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.62 : 1,408.66 = 392.21 : x
  2. Step 2: Convert to fraction form
    939.62/1,408.66 = 392.21/x
  3. Step 3: Cross multiply
    939.62x = 1,408.66 × 392.21
  4. Step 4: Simplify right side
    939.62x = 552,482.51
  5. Step 5: Solve for x
    x = 552,482.51/939.62
  6. Step 6: Final answer
    x = 587.99

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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.