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Finding the Fourth Proportional to 889.13, 1,226.56 and 574.66

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Solution

The fourth proportional to 889.13, 1,226.56 and 574.66 is: 792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.13 : 1,226.56 = 574.66 : x
  2. Step 2: Convert to fraction form
    889.13/1,226.56 = 574.66/x
  3. Step 3: Cross multiply
    889.13x = 1,226.56 × 574.66
  4. Step 4: Simplify right side
    889.13x = 704,857.22
  5. Step 5: Solve for x
    x = 704,857.22/889.13
  6. Step 6: Final answer
    x = 792.75

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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.