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Finding the Fourth Proportional to 540.88, 745.81 and 416.14

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Solution

The fourth proportional to 540.88, 745.81 and 416.14 is: 573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.88 : 745.81 = 416.14 : x
  2. Step 2: Convert to fraction form
    540.88/745.81 = 416.14/x
  3. Step 3: Cross multiply
    540.88x = 745.81 × 416.14
  4. Step 4: Simplify right side
    540.88x = 310,358.47
  5. Step 5: Solve for x
    x = 310,358.47/540.88
  6. Step 6: Final answer
    x = 573.81

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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.