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Finding the Fourth Proportional to 644.74, 965.79 and 461.68

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Solution

The fourth proportional to 644.74, 965.79 and 461.68 is: 691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.74 : 965.79 = 461.68 : x
  2. Step 2: Convert to fraction form
    644.74/965.79 = 461.68/x
  3. Step 3: Cross multiply
    644.74x = 965.79 × 461.68
  4. Step 4: Simplify right side
    644.74x = 445,883.51
  5. Step 5: Solve for x
    x = 445,883.51/644.74
  6. Step 6: Final answer
    x = 691.57

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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.