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Finding the Fourth Proportional to 950.76, 1,310.94 and 785.43

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Solution

The fourth proportional to 950.76, 1,310.94 and 785.43 is: 1,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,310.94 = 785.43 : x
  2. Step 2: Convert to fraction form
    950.76/1,310.94 = 785.43/x
  3. Step 3: Cross multiply
    950.76x = 1,310.94 × 785.43
  4. Step 4: Simplify right side
    950.76x = 1,029,651.60
  5. Step 5: Solve for x
    x = 1,029,651.60/950.76
  6. Step 6: Final answer
    x = 1,082.98

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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.