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Finding the Fourth Proportional to 950.82, 1,310.82 and 930.12

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Solution

The fourth proportional to 950.82, 1,310.82 and 930.12 is: 1,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.82 : 1,310.82 = 930.12 : x
  2. Step 2: Convert to fraction form
    950.82/1,310.82 = 930.12/x
  3. Step 3: Cross multiply
    950.82x = 1,310.82 × 930.12
  4. Step 4: Simplify right side
    950.82x = 1,219,219.90
  5. Step 5: Solve for x
    x = 1,219,219.90/950.82
  6. Step 6: Final answer
    x = 1,282.28

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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.