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Finding the Fourth Proportional to 646.23, 891.66 and 422.22

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Solution

The fourth proportional to 646.23, 891.66 and 422.22 is: 582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.23 : 891.66 = 422.22 : x
  2. Step 2: Convert to fraction form
    646.23/891.66 = 422.22/x
  3. Step 3: Cross multiply
    646.23x = 891.66 × 422.22
  4. Step 4: Simplify right side
    646.23x = 376,476.69
  5. Step 5: Solve for x
    x = 376,476.69/646.23
  6. Step 6: Final answer
    x = 582.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.