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Finding the Fourth Proportional to 540.85, 745.59 and 424.21

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Solution

The fourth proportional to 540.85, 745.59 and 424.21 is: 584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.85 : 745.59 = 424.21 : x
  2. Step 2: Convert to fraction form
    540.85/745.59 = 424.21/x
  3. Step 3: Cross multiply
    540.85x = 745.59 × 424.21
  4. Step 4: Simplify right side
    540.85x = 316,286.73
  5. Step 5: Solve for x
    x = 316,286.73/540.85
  6. Step 6: Final answer
    x = 584.80

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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.