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Finding the Fourth Proportional to 510.82, 762.31 and 456.14

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Solution

The fourth proportional to 510.82, 762.31 and 456.14 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 762.31 = 456.14 : x
  2. Step 2: Convert to fraction form
    510.82/762.31 = 456.14/x
  3. Step 3: Cross multiply
    510.82x = 762.31 × 456.14
  4. Step 4: Simplify right side
    510.82x = 347,717.80
  5. Step 5: Solve for x
    x = 347,717.80/510.82
  6. Step 6: Final answer
    x = 680.71

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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.