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Finding the Fourth Proportional to 646.78, 892.44 and 398.08

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Solution

The fourth proportional to 646.78, 892.44 and 398.08 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.78 : 892.44 = 398.08 : x
  2. Step 2: Convert to fraction form
    646.78/892.44 = 398.08/x
  3. Step 3: Cross multiply
    646.78x = 892.44 × 398.08
  4. Step 4: Simplify right side
    646.78x = 355,262.52
  5. Step 5: Solve for x
    x = 355,262.52/646.78
  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.