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Finding the Fourth Proportional to 937.22, 1,292.90 and 812.68

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Solution

The fourth proportional to 937.22, 1,292.90 and 812.68 is: 1,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.22 : 1,292.90 = 812.68 : x
  2. Step 2: Convert to fraction form
    937.22/1,292.90 = 812.68/x
  3. Step 3: Cross multiply
    937.22x = 1,292.90 × 812.68
  4. Step 4: Simplify right side
    937.22x = 1,050,706.68
  5. Step 5: Solve for x
    x = 1,050,706.68/937.22
  6. Step 6: Final answer
    x = 1,121.09

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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.