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Finding the Fourth Proportional to 539.38, 745.32 and 434.26

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Solution

The fourth proportional to 539.38, 745.32 and 434.26 is: 600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.38 : 745.32 = 434.26 : x
  2. Step 2: Convert to fraction form
    539.38/745.32 = 434.26/x
  3. Step 3: Cross multiply
    539.38x = 745.32 × 434.26
  4. Step 4: Simplify right side
    539.38x = 323,662.66
  5. Step 5: Solve for x
    x = 323,662.66/539.38
  6. Step 6: Final answer
    x = 600.06

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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.