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Finding the Fourth Proportional to 938.89, 1,295.56 and 540.61

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Solution

The fourth proportional to 938.89, 1,295.56 and 540.61 is: 745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.89 : 1,295.56 = 540.61 : x
  2. Step 2: Convert to fraction form
    938.89/1,295.56 = 540.61/x
  3. Step 3: Cross multiply
    938.89x = 1,295.56 × 540.61
  4. Step 4: Simplify right side
    938.89x = 700,392.69
  5. Step 5: Solve for x
    x = 700,392.69/938.89
  6. Step 6: Final answer
    x = 745.98

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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.