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Finding the Fourth Proportional to 510.39, 764.09 and 461.76

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Solution

The fourth proportional to 510.39, 764.09 and 461.76 is: 691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 764.09 = 461.76 : x
  2. Step 2: Convert to fraction form
    510.39/764.09 = 461.76/x
  3. Step 3: Cross multiply
    510.39x = 764.09 × 461.76
  4. Step 4: Simplify right side
    510.39x = 352,826.20
  5. Step 5: Solve for x
    x = 352,826.20/510.39
  6. Step 6: Final answer
    x = 691.29

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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.