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Finding the Fourth Proportional to 510.91, 762.11 and 453.80

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Solution

The fourth proportional to 510.91, 762.11 and 453.80 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.91 : 762.11 = 453.80 : x
  2. Step 2: Convert to fraction form
    510.91/762.11 = 453.80/x
  3. Step 3: Cross multiply
    510.91x = 762.11 × 453.80
  4. Step 4: Simplify right side
    510.91x = 345,846.86
  5. Step 5: Solve for x
    x = 345,846.86/510.91
  6. Step 6: Final answer
    x = 676.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.