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Finding the Fourth Proportional to 938.87, 1,296.96 and 854.70

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Solution

The fourth proportional to 938.87, 1,296.96 and 854.70 is: 1,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.87 : 1,296.96 = 854.70 : x
  2. Step 2: Convert to fraction form
    938.87/1,296.96 = 854.70/x
  3. Step 3: Cross multiply
    938.87x = 1,296.96 × 854.70
  4. Step 4: Simplify right side
    938.87x = 1,108,515.75
  5. Step 5: Solve for x
    x = 1,108,515.75/938.87
  6. Step 6: Final answer
    x = 1,180.70

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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.