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Finding the Fourth Proportional to 646.43, 969.74 and 213.53

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Solution

The fourth proportional to 646.43, 969.74 and 213.53 is: 320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.43 : 969.74 = 213.53 : x
  2. Step 2: Convert to fraction form
    646.43/969.74 = 213.53/x
  3. Step 3: Cross multiply
    646.43x = 969.74 × 213.53
  4. Step 4: Simplify right side
    646.43x = 207,067.51
  5. Step 5: Solve for x
    x = 207,067.51/646.43
  6. Step 6: Final answer
    x = 320.32

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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.