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Finding the Fourth Proportional to 1,073.26, 1,611.02 and 611.92

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Solution

The fourth proportional to 1,073.26, 1,611.02 and 611.92 is: 918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.26 : 1,611.02 = 611.92 : x
  2. Step 2: Convert to fraction form
    1,073.26/1,611.02 = 611.92/x
  3. Step 3: Cross multiply
    1,073.26x = 1,611.02 × 611.92
  4. Step 4: Simplify right side
    1,073.26x = 985,815.36
  5. Step 5: Solve for x
    x = 985,815.36/1,073.26
  6. Step 6: Final answer
    x = 918.52

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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.