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Finding the Fourth Proportional to 939.96, 1,408.11 and 573.84

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Solution

The fourth proportional to 939.96, 1,408.11 and 573.84 is: 859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.96 : 1,408.11 = 573.84 : x
  2. Step 2: Convert to fraction form
    939.96/1,408.11 = 573.84/x
  3. Step 3: Cross multiply
    939.96x = 1,408.11 × 573.84
  4. Step 4: Simplify right side
    939.96x = 808,029.84
  5. Step 5: Solve for x
    x = 808,029.84/939.96
  6. Step 6: Final answer
    x = 859.64

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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.