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Finding the Fourth Proportional to 939.13, 1,408.61 and 573.14

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Solution

The fourth proportional to 939.13, 1,408.61 and 573.14 is: 859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.13 : 1,408.61 = 573.14 : x
  2. Step 2: Convert to fraction form
    939.13/1,408.61 = 573.14/x
  3. Step 3: Cross multiply
    939.13x = 1,408.61 × 573.14
  4. Step 4: Simplify right side
    939.13x = 807,335.69
  5. Step 5: Solve for x
    x = 807,335.69/939.13
  6. Step 6: Final answer
    x = 859.67

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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.