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Finding the Fourth Proportional to 646.28, 892.12 and 410.44

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Solution

The fourth proportional to 646.28, 892.12 and 410.44 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.28 : 892.12 = 410.44 : x
  2. Step 2: Convert to fraction form
    646.28/892.12 = 410.44/x
  3. Step 3: Cross multiply
    646.28x = 892.12 × 410.44
  4. Step 4: Simplify right side
    646.28x = 366,161.73
  5. Step 5: Solve for x
    x = 366,161.73/646.28
  6. Step 6: Final answer
    x = 566.57

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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.