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Finding the Fourth Proportional to 664.83, 994.82 and 648.63

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Solution

The fourth proportional to 664.83, 994.82 and 648.63 is: 970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 994.82 = 648.63 : x
  2. Step 2: Convert to fraction form
    664.83/994.82 = 648.63/x
  3. Step 3: Cross multiply
    664.83x = 994.82 × 648.63
  4. Step 4: Simplify right side
    664.83x = 645,266.85
  5. Step 5: Solve for x
    x = 645,266.85/664.83
  6. Step 6: Final answer
    x = 970.57

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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.