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Finding the Fourth Proportional to 633.48, 873.42 and 400.20

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Solution

The fourth proportional to 633.48, 873.42 and 400.20 is: 551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.48 : 873.42 = 400.20 : x
  2. Step 2: Convert to fraction form
    633.48/873.42 = 400.20/x
  3. Step 3: Cross multiply
    633.48x = 873.42 × 400.20
  4. Step 4: Simplify right side
    633.48x = 349,542.68
  5. Step 5: Solve for x
    x = 349,542.68/633.48
  6. Step 6: Final answer
    x = 551.78

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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.