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Finding the Fourth Proportional to 540.75, 745.95 and 344.05

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Solution

The fourth proportional to 540.75, 745.95 and 344.05 is: 474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 745.95 = 344.05 : x
  2. Step 2: Convert to fraction form
    540.75/745.95 = 344.05/x
  3. Step 3: Cross multiply
    540.75x = 745.95 × 344.05
  4. Step 4: Simplify right side
    540.75x = 256,644.10
  5. Step 5: Solve for x
    x = 256,644.10/540.75
  6. Step 6: Final answer
    x = 474.61

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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.