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Finding the Fourth Proportional to 949.79, 1,310.83 and 576.86

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Solution

The fourth proportional to 949.79, 1,310.83 and 576.86 is: 796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.79 : 1,310.83 = 576.86 : x
  2. Step 2: Convert to fraction form
    949.79/1,310.83 = 576.86/x
  3. Step 3: Cross multiply
    949.79x = 1,310.83 × 576.86
  4. Step 4: Simplify right side
    949.79x = 756,166.17
  5. Step 5: Solve for x
    x = 756,166.17/949.79
  6. Step 6: Final answer
    x = 796.14

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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.