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Finding the Fourth Proportional to 950.45, 1,312.21 and 728.97

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Solution

The fourth proportional to 950.45, 1,312.21 and 728.97 is: 1,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.45 : 1,312.21 = 728.97 : x
  2. Step 2: Convert to fraction form
    950.45/1,312.21 = 728.97/x
  3. Step 3: Cross multiply
    950.45x = 1,312.21 × 728.97
  4. Step 4: Simplify right side
    950.45x = 956,558.08
  5. Step 5: Solve for x
    x = 956,558.08/950.45
  6. Step 6: Final answer
    x = 1,006.43

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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.