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Finding the Fourth Proportional to 540.98, 745.77 and 374.94

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Solution

The fourth proportional to 540.98, 745.77 and 374.94 is: 516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 745.77 = 374.94 : x
  2. Step 2: Convert to fraction form
    540.98/745.77 = 374.94/x
  3. Step 3: Cross multiply
    540.98x = 745.77 × 374.94
  4. Step 4: Simplify right side
    540.98x = 279,619.00
  5. Step 5: Solve for x
    x = 279,619.00/540.98
  6. Step 6: Final answer
    x = 516.87

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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.