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Finding the Fourth Proportional to 643.93, 969.68 and 462.59

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Solution

The fourth proportional to 643.93, 969.68 and 462.59 is: 696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.93 : 969.68 = 462.59 : x
  2. Step 2: Convert to fraction form
    643.93/969.68 = 462.59/x
  3. Step 3: Cross multiply
    643.93x = 969.68 × 462.59
  4. Step 4: Simplify right side
    643.93x = 448,568.37
  5. Step 5: Solve for x
    x = 448,568.37/643.93
  6. Step 6: Final answer
    x = 696.61

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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.