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Finding the Fourth Proportional to 938.06, 1,296.24 and 813.32

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Solution

The fourth proportional to 938.06, 1,296.24 and 813.32 is: 1,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.06 : 1,296.24 = 813.32 : x
  2. Step 2: Convert to fraction form
    938.06/1,296.24 = 813.32/x
  3. Step 3: Cross multiply
    938.06x = 1,296.24 × 813.32
  4. Step 4: Simplify right side
    938.06x = 1,054,257.92
  5. Step 5: Solve for x
    x = 1,054,257.92/938.06
  6. Step 6: Final answer
    x = 1,123.87

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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.