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Finding the Fourth Proportional to 938.19, 1,295.23 and 834.37

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Solution

The fourth proportional to 938.19, 1,295.23 and 834.37 is: 1,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.19 : 1,295.23 = 834.37 : x
  2. Step 2: Convert to fraction form
    938.19/1,295.23 = 834.37/x
  3. Step 3: Cross multiply
    938.19x = 1,295.23 × 834.37
  4. Step 4: Simplify right side
    938.19x = 1,080,701.06
  5. Step 5: Solve for x
    x = 1,080,701.06/938.19
  6. Step 6: Final answer
    x = 1,151.90

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1.5x scale

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.