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Finding the Fourth Proportional to 1,192.04, 1,789.98 and 738.92

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Solution

The fourth proportional to 1,192.04, 1,789.98 and 738.92 is: 1,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.04 : 1,789.98 = 738.92 : x
  2. Step 2: Convert to fraction form
    1,192.04/1,789.98 = 738.92/x
  3. Step 3: Cross multiply
    1,192.04x = 1,789.98 × 738.92
  4. Step 4: Simplify right side
    1,192.04x = 1,322,652.02
  5. Step 5: Solve for x
    x = 1,322,652.02/1,192.04
  6. Step 6: Final answer
    x = 1,109.57

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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.