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Finding the Fourth Proportional to 649.69, 975.31 and 512.84

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Solution

The fourth proportional to 649.69, 975.31 and 512.84 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.69 : 975.31 = 512.84 : x
  2. Step 2: Convert to fraction form
    649.69/975.31 = 512.84/x
  3. Step 3: Cross multiply
    649.69x = 975.31 × 512.84
  4. Step 4: Simplify right side
    649.69x = 500,177.98
  5. Step 5: Solve for x
    x = 500,177.98/649.69
  6. Step 6: Final answer
    x = 769.87

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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.