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Finding the Fourth Proportional to 2,905.73, 4,358.49 and 825.73

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Solution

The fourth proportional to 2,905.73, 4,358.49 and 825.73 is: 1,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.73 : 4,358.49 = 825.73 : x
  2. Step 2: Convert to fraction form
    2,905.73/4,358.49 = 825.73/x
  3. Step 3: Cross multiply
    2,905.73x = 4,358.49 × 825.73
  4. Step 4: Simplify right side
    2,905.73x = 3,598,935.95
  5. Step 5: Solve for x
    x = 3,598,935.95/2,905.73
  6. Step 6: Final answer
    x = 1,238.57

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1.5x scale

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.