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Finding the Fourth Proportional to 950.54, 1,309.68 and 728.78

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Solution

The fourth proportional to 950.54, 1,309.68 and 728.78 is: 1,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.54 : 1,309.68 = 728.78 : x
  2. Step 2: Convert to fraction form
    950.54/1,309.68 = 728.78/x
  3. Step 3: Cross multiply
    950.54x = 1,309.68 × 728.78
  4. Step 4: Simplify right side
    950.54x = 954,462.04
  5. Step 5: Solve for x
    x = 954,462.04/950.54
  6. Step 6: Final answer
    x = 1,004.13

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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.