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Finding the Fourth Proportional to 889.13, 1,226.04 and 800.78

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Solution

The fourth proportional to 889.13, 1,226.04 and 800.78 is: 1,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.13 : 1,226.04 = 800.78 : x
  2. Step 2: Convert to fraction form
    889.13/1,226.04 = 800.78/x
  3. Step 3: Cross multiply
    889.13x = 1,226.04 × 800.78
  4. Step 4: Simplify right side
    889.13x = 981,782.18
  5. Step 5: Solve for x
    x = 981,782.18/889.13
  6. Step 6: Final answer
    x = 1,104.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.