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Finding the Fourth Proportional to 539.26, 810.26 and 344.35

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Solution

The fourth proportional to 539.26, 810.26 and 344.35 is: 517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 810.26 = 344.35 : x
  2. Step 2: Convert to fraction form
    539.26/810.26 = 344.35/x
  3. Step 3: Cross multiply
    539.26x = 810.26 × 344.35
  4. Step 4: Simplify right side
    539.26x = 279,013.33
  5. Step 5: Solve for x
    x = 279,013.33/539.26
  6. Step 6: Final answer
    x = 517.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.