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Finding the Fourth Proportional to 635, 875.22 and 524.12

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Solution

The fourth proportional to 635, 875.22 and 524.12 is: 722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635 : 875.22 = 524.12 : x
  2. Step 2: Convert to fraction form
    635/875.22 = 524.12/x
  3. Step 3: Cross multiply
    635x = 875.22 × 524.12
  4. Step 4: Simplify right side
    635x = 458,720.31
  5. Step 5: Solve for x
    x = 458,720.31/635
  6. Step 6: Final answer
    x = 722.39

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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.