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Finding the Fourth Proportional to 648.66, 971.97 and 511.08

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Solution

The fourth proportional to 648.66, 971.97 and 511.08 is: 765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 971.97 = 511.08 : x
  2. Step 2: Convert to fraction form
    648.66/971.97 = 511.08/x
  3. Step 3: Cross multiply
    648.66x = 971.97 × 511.08
  4. Step 4: Simplify right side
    648.66x = 496,754.43
  5. Step 5: Solve for x
    x = 496,754.43/648.66
  6. Step 6: Final answer
    x = 765.82

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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.