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Finding the Fourth Proportional to 540.44, 745.92 and 451.82

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Solution

The fourth proportional to 540.44, 745.92 and 451.82 is: 623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 745.92 = 451.82 : x
  2. Step 2: Convert to fraction form
    540.44/745.92 = 451.82/x
  3. Step 3: Cross multiply
    540.44x = 745.92 × 451.82
  4. Step 4: Simplify right side
    540.44x = 337,017.84
  5. Step 5: Solve for x
    x = 337,017.84/540.44
  6. Step 6: Final answer
    x = 623.60

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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.