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Finding the Fourth Proportional to 635.85, 877.91 and 569.43

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Solution

The fourth proportional to 635.85, 877.91 and 569.43 is: 786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.85 : 877.91 = 569.43 : x
  2. Step 2: Convert to fraction form
    635.85/877.91 = 569.43/x
  3. Step 3: Cross multiply
    635.85x = 877.91 × 569.43
  4. Step 4: Simplify right side
    635.85x = 499,905.44
  5. Step 5: Solve for x
    x = 499,905.44/635.85
  6. Step 6: Final answer
    x = 786.20

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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.