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Finding the Fourth Proportional to 650.25, 973.80 and 512.94

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Solution

The fourth proportional to 650.25, 973.80 and 512.94 is: 768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 973.80 = 512.94 : x
  2. Step 2: Convert to fraction form
    650.25/973.80 = 512.94/x
  3. Step 3: Cross multiply
    650.25x = 973.80 × 512.94
  4. Step 4: Simplify right side
    650.25x = 499,500.97
  5. Step 5: Solve for x
    x = 499,500.97/650.25
  6. Step 6: Final answer
    x = 768.17

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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.