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Finding the Fourth Proportional to 646.82, 892.44 and 398.06

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Solution

The fourth proportional to 646.82, 892.44 and 398.06 is: 549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 892.44 = 398.06 : x
  2. Step 2: Convert to fraction form
    646.82/892.44 = 398.06/x
  3. Step 3: Cross multiply
    646.82x = 892.44 × 398.06
  4. Step 4: Simplify right side
    646.82x = 355,244.67
  5. Step 5: Solve for x
    x = 355,244.67/646.82
  6. Step 6: Final answer
    x = 549.22

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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.