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Finding the Fourth Proportional to 493.78, 680.80 and 400.18

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Solution

The fourth proportional to 493.78, 680.80 and 400.18 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.78 : 680.80 = 400.18 : x
  2. Step 2: Convert to fraction form
    493.78/680.80 = 400.18/x
  3. Step 3: Cross multiply
    493.78x = 680.80 × 400.18
  4. Step 4: Simplify right side
    493.78x = 272,439.14
  5. Step 5: Solve for x
    x = 272,439.14/493.78
  6. Step 6: Final answer
    x = 551.75

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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.