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Finding the Fourth Proportional to 634.48, 873.24 and 537.52

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Solution

The fourth proportional to 634.48, 873.24 and 537.52 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 873.24 = 537.52 : x
  2. Step 2: Convert to fraction form
    634.48/873.24 = 537.52/x
  3. Step 3: Cross multiply
    634.48x = 873.24 × 537.52
  4. Step 4: Simplify right side
    634.48x = 469,383.96
  5. Step 5: Solve for x
    x = 469,383.96/634.48
  6. Step 6: Final answer
    x = 739.79

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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.