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Finding the Fourth Proportional to 644.09, 969.89 and 462.74

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Solution

The fourth proportional to 644.09, 969.89 and 462.74 is: 696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.09 : 969.89 = 462.74 : x
  2. Step 2: Convert to fraction form
    644.09/969.89 = 462.74/x
  3. Step 3: Cross multiply
    644.09x = 969.89 × 462.74
  4. Step 4: Simplify right side
    644.09x = 448,799.74
  5. Step 5: Solve for x
    x = 448,799.74/644.09
  6. Step 6: Final answer
    x = 696.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.