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Finding the Fourth Proportional to 1,190.04, 1,785.90 and 800.79

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Solution

The fourth proportional to 1,190.04, 1,785.90 and 800.79 is: 1,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.04 : 1,785.90 = 800.79 : x
  2. Step 2: Convert to fraction form
    1,190.04/1,785.90 = 800.79/x
  3. Step 3: Cross multiply
    1,190.04x = 1,785.90 × 800.79
  4. Step 4: Simplify right side
    1,190.04x = 1,430,122.66
  5. Step 5: Solve for x
    x = 1,430,122.66/1,190.04
  6. Step 6: Final answer
    x = 1,201.74

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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.