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Finding the Fourth Proportional to 635.78, 877.07 and 400.02

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Solution

The fourth proportional to 635.78, 877.07 and 400.02 is: 551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.78 : 877.07 = 400.02 : x
  2. Step 2: Convert to fraction form
    635.78/877.07 = 400.02/x
  3. Step 3: Cross multiply
    635.78x = 877.07 × 400.02
  4. Step 4: Simplify right side
    635.78x = 350,846.54
  5. Step 5: Solve for x
    x = 350,846.54/635.78
  6. Step 6: Final answer
    x = 551.83

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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.