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Finding the Fourth Proportional to 646.90, 892.45 and 398.14

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Solution

The fourth proportional to 646.90, 892.45 and 398.14 is: 549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.90 : 892.45 = 398.14 : x
  2. Step 2: Convert to fraction form
    646.90/892.45 = 398.14/x
  3. Step 3: Cross multiply
    646.90x = 892.45 × 398.14
  4. Step 4: Simplify right side
    646.90x = 355,320.04
  5. Step 5: Solve for x
    x = 355,320.04/646.90
  6. Step 6: Final answer
    x = 549.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.