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Finding the Fourth Proportional to 1,129.22, 1,694.98 and 609.20

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Solution

The fourth proportional to 1,129.22, 1,694.98 and 609.20 is: 914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.22 : 1,694.98 = 609.20 : x
  2. Step 2: Convert to fraction form
    1,129.22/1,694.98 = 609.20/x
  3. Step 3: Cross multiply
    1,129.22x = 1,694.98 × 609.20
  4. Step 4: Simplify right side
    1,129.22x = 1,032,581.82
  5. Step 5: Solve for x
    x = 1,032,581.82/1,129.22
  6. Step 6: Final answer
    x = 914.42

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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.