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Finding the Fourth Proportional to 939.67, 1,409.81 and 593.26

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Solution

The fourth proportional to 939.67, 1,409.81 and 593.26 is: 890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.67 : 1,409.81 = 593.26 : x
  2. Step 2: Convert to fraction form
    939.67/1,409.81 = 593.26/x
  3. Step 3: Cross multiply
    939.67x = 1,409.81 × 593.26
  4. Step 4: Simplify right side
    939.67x = 836,377.39
  5. Step 5: Solve for x
    x = 836,377.39/939.67
  6. Step 6: Final answer
    x = 890.08

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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.