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Finding the Fourth Proportional to 499.09, 686.46 and 400.63

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Solution

The fourth proportional to 499.09, 686.46 and 400.63 is: 551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.09 : 686.46 = 400.63 : x
  2. Step 2: Convert to fraction form
    499.09/686.46 = 400.63/x
  3. Step 3: Cross multiply
    499.09x = 686.46 × 400.63
  4. Step 4: Simplify right side
    499.09x = 275,016.47
  5. Step 5: Solve for x
    x = 275,016.47/499.09
  6. Step 6: Final answer
    x = 551.04

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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.