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Finding the Fourth Proportional to 889.57, 1,226.10 and 609.31

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Solution

The fourth proportional to 889.57, 1,226.10 and 609.31 is: 839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.57 : 1,226.10 = 609.31 : x
  2. Step 2: Convert to fraction form
    889.57/1,226.10 = 609.31/x
  3. Step 3: Cross multiply
    889.57x = 1,226.10 × 609.31
  4. Step 4: Simplify right side
    889.57x = 747,074.99
  5. Step 5: Solve for x
    x = 747,074.99/889.57
  6. Step 6: Final answer
    x = 839.82

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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.