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Finding the Fourth Proportional to 1,129.97, 1,694.39 and 436.81

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Solution

The fourth proportional to 1,129.97, 1,694.39 and 436.81 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.97 : 1,694.39 = 436.81 : x
  2. Step 2: Convert to fraction form
    1,129.97/1,694.39 = 436.81/x
  3. Step 3: Cross multiply
    1,129.97x = 1,694.39 × 436.81
  4. Step 4: Simplify right side
    1,129.97x = 740,120.08
  5. Step 5: Solve for x
    x = 740,120.08/1,129.97
  6. Step 6: Final answer
    x = 654.99

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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.