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Finding the Fourth Proportional to 941.43, 1,299.02 and 591.87

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Solution

The fourth proportional to 941.43, 1,299.02 and 591.87 is: 816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.43 : 1,299.02 = 591.87 : x
  2. Step 2: Convert to fraction form
    941.43/1,299.02 = 591.87/x
  3. Step 3: Cross multiply
    941.43x = 1,299.02 × 591.87
  4. Step 4: Simplify right side
    941.43x = 768,850.97
  5. Step 5: Solve for x
    x = 768,850.97/941.43
  6. Step 6: Final answer
    x = 816.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.