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Finding the Fourth Proportional to 635, 876.62 and 596.60

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Solution

The fourth proportional to 635, 876.62 and 596.60 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635 : 876.62 = 596.60 : x
  2. Step 2: Convert to fraction form
    635/876.62 = 596.60/x
  3. Step 3: Cross multiply
    635x = 876.62 × 596.60
  4. Step 4: Simplify right side
    635x = 522,991.49
  5. Step 5: Solve for x
    x = 522,991.49/635
  6. Step 6: Final answer
    x = 823.61

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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.