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Finding the Fourth Proportional to 1,192.26, 1,788.39 and 499.26

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Solution

The fourth proportional to 1,192.26, 1,788.39 and 499.26 is: 748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.26 : 1,788.39 = 499.26 : x
  2. Step 2: Convert to fraction form
    1,192.26/1,788.39 = 499.26/x
  3. Step 3: Cross multiply
    1,192.26x = 1,788.39 × 499.26
  4. Step 4: Simplify right side
    1,192.26x = 892,871.59
  5. Step 5: Solve for x
    x = 892,871.59/1,192.26
  6. Step 6: Final answer
    x = 748.89

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1.5x scale

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.