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Finding the Fourth Proportional to 950.25, 1,426.73 and 747.03

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Solution

The fourth proportional to 950.25, 1,426.73 and 747.03 is: 1,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.25 : 1,426.73 = 747.03 : x
  2. Step 2: Convert to fraction form
    950.25/1,426.73 = 747.03/x
  3. Step 3: Cross multiply
    950.25x = 1,426.73 × 747.03
  4. Step 4: Simplify right side
    950.25x = 1,065,810.11
  5. Step 5: Solve for x
    x = 1,065,810.11/950.25
  6. Step 6: Final answer
    x = 1,121.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.