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Finding the Fourth Proportional to 510.86, 764.47 and 408.80

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Solution

The fourth proportional to 510.86, 764.47 and 408.80 is: 611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 764.47 = 408.80 : x
  2. Step 2: Convert to fraction form
    510.86/764.47 = 408.80/x
  3. Step 3: Cross multiply
    510.86x = 764.47 × 408.80
  4. Step 4: Simplify right side
    510.86x = 312,517.76
  5. Step 5: Solve for x
    x = 312,517.76/510.86
  6. Step 6: Final answer
    x = 611.75

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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.