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Finding the Fourth Proportional to 537.17, 745.23 and 517.73

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Solution

The fourth proportional to 537.17, 745.23 and 517.73 is: 718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.17 : 745.23 = 517.73 : x
  2. Step 2: Convert to fraction form
    537.17/745.23 = 517.73/x
  3. Step 3: Cross multiply
    537.17x = 745.23 × 517.73
  4. Step 4: Simplify right side
    537.17x = 385,826.14
  5. Step 5: Solve for x
    x = 385,826.14/537.17
  6. Step 6: Final answer
    x = 718.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.