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Finding the Fourth Proportional to 649.54, 975.08 and 512.68

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Solution

The fourth proportional to 649.54, 975.08 and 512.68 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 975.08 = 512.68 : x
  2. Step 2: Convert to fraction form
    649.54/975.08 = 512.68/x
  3. Step 3: Cross multiply
    649.54x = 975.08 × 512.68
  4. Step 4: Simplify right side
    649.54x = 499,901.45
  5. Step 5: Solve for x
    x = 499,901.45/649.54
  6. Step 6: Final answer
    x = 769.62

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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.