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Finding the Fourth Proportional to 540.05, 745.54 and 421.81

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Solution

The fourth proportional to 540.05, 745.54 and 421.81 is: 582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.05 : 745.54 = 421.81 : x
  2. Step 2: Convert to fraction form
    540.05/745.54 = 421.81/x
  3. Step 3: Cross multiply
    540.05x = 745.54 × 421.81
  4. Step 4: Simplify right side
    540.05x = 314,473.31
  5. Step 5: Solve for x
    x = 314,473.31/540.05
  6. Step 6: Final answer
    x = 582.31

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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.