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Finding the Fourth Proportional to 510.09, 769.39 and 510.09

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Solution

The fourth proportional to 510.09, 769.39 and 510.09 is: 769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 769.39 = 510.09 : x
  2. Step 2: Convert to fraction form
    510.09/769.39 = 510.09/x
  3. Step 3: Cross multiply
    510.09x = 769.39 × 510.09
  4. Step 4: Simplify right side
    510.09x = 392,458.15
  5. Step 5: Solve for x
    x = 392,458.15/510.09
  6. Step 6: Final answer
    x = 769.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.