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Finding the Fourth Proportional to 510.69, 766.17 and 293.79

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Solution

The fourth proportional to 510.69, 766.17 and 293.79 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 766.17 = 293.79 : x
  2. Step 2: Convert to fraction form
    510.69/766.17 = 293.79/x
  3. Step 3: Cross multiply
    510.69x = 766.17 × 293.79
  4. Step 4: Simplify right side
    510.69x = 225,093.08
  5. Step 5: Solve for x
    x = 225,093.08/510.69
  6. Step 6: Final answer
    x = 440.76

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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.