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Finding the Fourth Proportional to 634.22, 873.96 and 524.48

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Solution

The fourth proportional to 634.22, 873.96 and 524.48 is: 722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 873.96 = 524.48 : x
  2. Step 2: Convert to fraction form
    634.22/873.96 = 524.48/x
  3. Step 3: Cross multiply
    634.22x = 873.96 × 524.48
  4. Step 4: Simplify right side
    634.22x = 458,374.54
  5. Step 5: Solve for x
    x = 458,374.54/634.22
  6. Step 6: Final answer
    x = 722.74

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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.