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Finding the Fourth Proportional to 422.73, 581.67 and 410.05

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Solution

The fourth proportional to 422.73, 581.67 and 410.05 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.73 : 581.67 = 410.05 : x
  2. Step 2: Convert to fraction form
    422.73/581.67 = 410.05/x
  3. Step 3: Cross multiply
    422.73x = 581.67 × 410.05
  4. Step 4: Simplify right side
    422.73x = 238,513.78
  5. Step 5: Solve for x
    x = 238,513.78/422.73
  6. Step 6: Final answer
    x = 564.22

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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.