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Finding the Fourth Proportional to 949.89, 1,311.08 and 687.86

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Solution

The fourth proportional to 949.89, 1,311.08 and 687.86 is: 949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,311.08 = 687.86 : x
  2. Step 2: Convert to fraction form
    949.89/1,311.08 = 687.86/x
  3. Step 3: Cross multiply
    949.89x = 1,311.08 × 687.86
  4. Step 4: Simplify right side
    949.89x = 901,839.49
  5. Step 5: Solve for x
    x = 901,839.49/949.89
  6. Step 6: Final answer
    x = 949.41

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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.