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Finding the Fourth Proportional to 646.73, 892.41 and 398.04

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Solution

The fourth proportional to 646.73, 892.41 and 398.04 is: 549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.73 : 892.41 = 398.04 : x
  2. Step 2: Convert to fraction form
    646.73/892.41 = 398.04/x
  3. Step 3: Cross multiply
    646.73x = 892.41 × 398.04
  4. Step 4: Simplify right side
    646.73x = 355,214.88
  5. Step 5: Solve for x
    x = 355,214.88/646.73
  6. Step 6: Final answer
    x = 549.25

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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.