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Finding the Fourth Proportional to 2,005.32, 3,005.80 and 687.85

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Solution

The fourth proportional to 2,005.32, 3,005.80 and 687.85 is: 1,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.32 : 3,005.80 = 687.85 : x
  2. Step 2: Convert to fraction form
    2,005.32/3,005.80 = 687.85/x
  3. Step 3: Cross multiply
    2,005.32x = 3,005.80 × 687.85
  4. Step 4: Simplify right side
    2,005.32x = 2,067,539.53
  5. Step 5: Solve for x
    x = 2,067,539.53/2,005.32
  6. Step 6: Final answer
    x = 1,031.03

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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.