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Finding the Fourth Proportional to 949.74, 1,310.80 and 576.97

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Solution

The fourth proportional to 949.74, 1,310.80 and 576.97 is: 796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.74 : 1,310.80 = 576.97 : x
  2. Step 2: Convert to fraction form
    949.74/1,310.80 = 576.97/x
  3. Step 3: Cross multiply
    949.74x = 1,310.80 × 576.97
  4. Step 4: Simplify right side
    949.74x = 756,282.84
  5. Step 5: Solve for x
    x = 756,282.84/949.74
  6. Step 6: Final answer
    x = 796.31

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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.