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Finding the Fourth Proportional to 543.69, 814.47 and 515.75

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Solution

The fourth proportional to 543.69, 814.47 and 515.75 is: 772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.69 : 814.47 = 515.75 : x
  2. Step 2: Convert to fraction form
    543.69/814.47 = 515.75/x
  3. Step 3: Cross multiply
    543.69x = 814.47 × 515.75
  4. Step 4: Simplify right side
    543.69x = 420,058.83
  5. Step 5: Solve for x
    x = 420,058.83/543.69
  6. Step 6: Final answer
    x = 772.61

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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.