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Finding the Fourth Proportional to 646.17, 892.17 and 397.82

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Solution

The fourth proportional to 646.17, 892.17 and 397.82 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 892.17 = 397.82 : x
  2. Step 2: Convert to fraction form
    646.17/892.17 = 397.82/x
  3. Step 3: Cross multiply
    646.17x = 892.17 × 397.82
  4. Step 4: Simplify right side
    646.17x = 354,923.07
  5. Step 5: Solve for x
    x = 354,923.07/646.17
  6. Step 6: Final answer
    x = 549.28

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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.