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Finding the Fourth Proportional to 635.70, 876.87 and 566.22

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Solution

The fourth proportional to 635.70, 876.87 and 566.22 is: 781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.70 : 876.87 = 566.22 : x
  2. Step 2: Convert to fraction form
    635.70/876.87 = 566.22/x
  3. Step 3: Cross multiply
    635.70x = 876.87 × 566.22
  4. Step 4: Simplify right side
    635.70x = 496,501.33
  5. Step 5: Solve for x
    x = 496,501.33/635.70
  6. Step 6: Final answer
    x = 781.03

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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.