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Finding the Fourth Proportional to 468.17, 646.80 and 398.96

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Solution

The fourth proportional to 468.17, 646.80 and 398.96 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.17 : 646.80 = 398.96 : x
  2. Step 2: Convert to fraction form
    468.17/646.80 = 398.96/x
  3. Step 3: Cross multiply
    468.17x = 646.80 × 398.96
  4. Step 4: Simplify right side
    468.17x = 258,047.33
  5. Step 5: Solve for x
    x = 258,047.33/468.17
  6. Step 6: Final answer
    x = 551.18

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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.