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Finding the Fourth Proportional to 510.20, 764.81 and 485.97

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Solution

The fourth proportional to 510.20, 764.81 and 485.97 is: 728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 764.81 = 485.97 : x
  2. Step 2: Convert to fraction form
    510.20/764.81 = 485.97/x
  3. Step 3: Cross multiply
    510.20x = 764.81 × 485.97
  4. Step 4: Simplify right side
    510.20x = 371,671.24
  5. Step 5: Solve for x
    x = 371,671.24/510.20
  6. Step 6: Final answer
    x = 728.48

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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.