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Finding the Fourth Proportional to 646.14, 890.90 and 422.22

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Solution

The fourth proportional to 646.14, 890.90 and 422.22 is: 582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.14 : 890.90 = 422.22 : x
  2. Step 2: Convert to fraction form
    646.14/890.90 = 422.22/x
  3. Step 3: Cross multiply
    646.14x = 890.90 × 422.22
  4. Step 4: Simplify right side
    646.14x = 376,155.80
  5. Step 5: Solve for x
    x = 376,155.80/646.14
  6. Step 6: Final answer
    x = 582.16

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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.