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Finding the Fourth Proportional to 1,129.45, 1,693.57 and 349.22

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Solution

The fourth proportional to 1,129.45, 1,693.57 and 349.22 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.45 : 1,693.57 = 349.22 : x
  2. Step 2: Convert to fraction form
    1,129.45/1,693.57 = 349.22/x
  3. Step 3: Cross multiply
    1,129.45x = 1,693.57 × 349.22
  4. Step 4: Simplify right side
    1,129.45x = 591,428.52
  5. Step 5: Solve for x
    x = 591,428.52/1,129.45
  6. Step 6: Final answer
    x = 523.64

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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.