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Finding the Fourth Proportional to 646.77, 892.56 and 363.21

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Solution

The fourth proportional to 646.77, 892.56 and 363.21 is: 501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 892.56 = 363.21 : x
  2. Step 2: Convert to fraction form
    646.77/892.56 = 363.21/x
  3. Step 3: Cross multiply
    646.77x = 892.56 × 363.21
  4. Step 4: Simplify right side
    646.77x = 324,186.72
  5. Step 5: Solve for x
    x = 324,186.72/646.77
  6. Step 6: Final answer
    x = 501.24

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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.