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Finding the Fourth Proportional to 825.17, 1,237.42 and 297.92

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Solution

The fourth proportional to 825.17, 1,237.42 and 297.92 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.17 : 1,237.42 = 297.92 : x
  2. Step 2: Convert to fraction form
    825.17/1,237.42 = 297.92/x
  3. Step 3: Cross multiply
    825.17x = 1,237.42 × 297.92
  4. Step 4: Simplify right side
    825.17x = 368,650.68
  5. Step 5: Solve for x
    x = 368,650.68/825.17
  6. Step 6: Final answer
    x = 446.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.