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Finding the Fourth Proportional to 1,164.99, 1,747.74 and 343.23

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Solution

The fourth proportional to 1,164.99, 1,747.74 and 343.23 is: 514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.99 : 1,747.74 = 343.23 : x
  2. Step 2: Convert to fraction form
    1,164.99/1,747.74 = 343.23/x
  3. Step 3: Cross multiply
    1,164.99x = 1,747.74 × 343.23
  4. Step 4: Simplify right side
    1,164.99x = 599,876.80
  5. Step 5: Solve for x
    x = 599,876.80/1,164.99
  6. Step 6: Final answer
    x = 514.92

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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.