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Finding the Fourth Proportional to 950.33, 1,310.68 and 784.49

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Solution

The fourth proportional to 950.33, 1,310.68 and 784.49 is: 1,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.33 : 1,310.68 = 784.49 : x
  2. Step 2: Convert to fraction form
    950.33/1,310.68 = 784.49/x
  3. Step 3: Cross multiply
    950.33x = 1,310.68 × 784.49
  4. Step 4: Simplify right side
    950.33x = 1,028,209.78
  5. Step 5: Solve for x
    x = 1,028,209.78/950.33
  6. Step 6: Final answer
    x = 1,081.95

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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.