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Finding the Fourth Proportional to 540.70, 745.22 and 422.69

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Solution

The fourth proportional to 540.70, 745.22 and 422.69 is: 582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 745.22 = 422.69 : x
  2. Step 2: Convert to fraction form
    540.70/745.22 = 422.69/x
  3. Step 3: Cross multiply
    540.70x = 745.22 × 422.69
  4. Step 4: Simplify right side
    540.70x = 314,994.37
  5. Step 5: Solve for x
    x = 314,994.37/540.70
  6. Step 6: Final answer
    x = 582.57

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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.