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Finding the Fourth Proportional to 949.32, 1,310.67 and 739.71

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Solution

The fourth proportional to 949.32, 1,310.67 and 739.71 is: 1,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.32 : 1,310.67 = 739.71 : x
  2. Step 2: Convert to fraction form
    949.32/1,310.67 = 739.71/x
  3. Step 3: Cross multiply
    949.32x = 1,310.67 × 739.71
  4. Step 4: Simplify right side
    949.32x = 969,515.71
  5. Step 5: Solve for x
    x = 969,515.71/949.32
  6. Step 6: Final answer
    x = 1,021.27

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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.