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Finding the Fourth Proportional to 2,560.48, 3,840.88 and 805.82

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Solution

The fourth proportional to 2,560.48, 3,840.88 and 805.82 is: 1,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.48 : 3,840.88 = 805.82 : x
  2. Step 2: Convert to fraction form
    2,560.48/3,840.88 = 805.82/x
  3. Step 3: Cross multiply
    2,560.48x = 3,840.88 × 805.82
  4. Step 4: Simplify right side
    2,560.48x = 3,095,057.92
  5. Step 5: Solve for x
    x = 3,095,057.92/2,560.48
  6. Step 6: Final answer
    x = 1,208.78

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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.