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Finding the Fourth Proportional to 1,611.91, 2,418.12 and 687.47

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Solution

The fourth proportional to 1,611.91, 2,418.12 and 687.47 is: 1,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.91 : 2,418.12 = 687.47 : x
  2. Step 2: Convert to fraction form
    1,611.91/2,418.12 = 687.47/x
  3. Step 3: Cross multiply
    1,611.91x = 2,418.12 × 687.47
  4. Step 4: Simplify right side
    1,611.91x = 1,662,379.36
  5. Step 5: Solve for x
    x = 1,662,379.36/1,611.91
  6. Step 6: Final answer
    x = 1,031.31

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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.