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Finding the Fourth Proportional to 950.74, 1,310.99 and 730.22

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Solution

The fourth proportional to 950.74, 1,310.99 and 730.22 is: 1,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.74 : 1,310.99 = 730.22 : x
  2. Step 2: Convert to fraction form
    950.74/1,310.99 = 730.22/x
  3. Step 3: Cross multiply
    950.74x = 1,310.99 × 730.22
  4. Step 4: Simplify right side
    950.74x = 957,300.91
  5. Step 5: Solve for x
    x = 957,300.91/950.74
  6. Step 6: Final answer
    x = 1,006.90

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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.