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Finding the Fourth Proportional to 1,443.87, 2,165.76 and 825.66

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Solution

The fourth proportional to 1,443.87, 2,165.76 and 825.66 is: 1,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.87 : 2,165.76 = 825.66 : x
  2. Step 2: Convert to fraction form
    1,443.87/2,165.76 = 825.66/x
  3. Step 3: Cross multiply
    1,443.87x = 2,165.76 × 825.66
  4. Step 4: Simplify right side
    1,443.87x = 1,788,181.40
  5. Step 5: Solve for x
    x = 1,788,181.40/1,443.87
  6. Step 6: Final answer
    x = 1,238.46

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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.