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Finding the Fourth Proportional to 949.81, 1,310.81 and 556.90

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Solution

The fourth proportional to 949.81, 1,310.81 and 556.90 is: 768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.81 : 1,310.81 = 556.90 : x
  2. Step 2: Convert to fraction form
    949.81/1,310.81 = 556.90/x
  3. Step 3: Cross multiply
    949.81x = 1,310.81 × 556.90
  4. Step 4: Simplify right side
    949.81x = 729,990.09
  5. Step 5: Solve for x
    x = 729,990.09/949.81
  6. Step 6: Final answer
    x = 768.56

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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.