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Finding the Fourth Proportional to 1,129.33, 1,694.49 and 608.73

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Solution

The fourth proportional to 1,129.33, 1,694.49 and 608.73 is: 913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.33 : 1,694.49 = 608.73 : x
  2. Step 2: Convert to fraction form
    1,129.33/1,694.49 = 608.73/x
  3. Step 3: Cross multiply
    1,129.33x = 1,694.49 × 608.73
  4. Step 4: Simplify right side
    1,129.33x = 1,031,486.90
  5. Step 5: Solve for x
    x = 1,031,486.90/1,129.33
  6. Step 6: Final answer
    x = 913.36

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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.