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Finding the Fourth Proportional to 949.69, 1,311.17 and 728.22

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Solution

The fourth proportional to 949.69, 1,311.17 and 728.22 is: 1,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.69 : 1,311.17 = 728.22 : x
  2. Step 2: Convert to fraction form
    949.69/1,311.17 = 728.22/x
  3. Step 3: Cross multiply
    949.69x = 1,311.17 × 728.22
  4. Step 4: Simplify right side
    949.69x = 954,816.94
  5. Step 5: Solve for x
    x = 954,816.94/949.69
  6. Step 6: Final answer
    x = 1,005.40

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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.