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Finding the Fourth Proportional to 889.50, 1,226.97 and 574.26

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Solution

The fourth proportional to 889.50, 1,226.97 and 574.26 is: 792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.50 : 1,226.97 = 574.26 : x
  2. Step 2: Convert to fraction form
    889.50/1,226.97 = 574.26/x
  3. Step 3: Cross multiply
    889.50x = 1,226.97 × 574.26
  4. Step 4: Simplify right side
    889.50x = 704,599.79
  5. Step 5: Solve for x
    x = 704,599.79/889.50
  6. Step 6: Final answer
    x = 792.13

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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.