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Finding the Fourth Proportional to 938.29, 1,295.02 and 540.22

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Solution

The fourth proportional to 938.29, 1,295.02 and 540.22 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.29 : 1,295.02 = 540.22 : x
  2. Step 2: Convert to fraction form
    938.29/1,295.02 = 540.22/x
  3. Step 3: Cross multiply
    938.29x = 1,295.02 × 540.22
  4. Step 4: Simplify right side
    938.29x = 699,595.70
  5. Step 5: Solve for x
    x = 699,595.70/938.29
  6. Step 6: Final answer
    x = 745.61

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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.