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Finding the Fourth Proportional to 1,073.91, 1,611.26 and 457.56

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Solution

The fourth proportional to 1,073.91, 1,611.26 and 457.56 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.91 : 1,611.26 = 457.56 : x
  2. Step 2: Convert to fraction form
    1,073.91/1,611.26 = 457.56/x
  3. Step 3: Cross multiply
    1,073.91x = 1,611.26 × 457.56
  4. Step 4: Simplify right side
    1,073.91x = 737,245.84
  5. Step 5: Solve for x
    x = 737,245.84/1,073.91
  6. Step 6: Final answer
    x = 686.51

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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.