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Finding the Fourth Proportional to 2,244.53, 3,364.67 and 783.29

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Solution

The fourth proportional to 2,244.53, 3,364.67 and 783.29 is: 1,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.53 : 3,364.67 = 783.29 : x
  2. Step 2: Convert to fraction form
    2,244.53/3,364.67 = 783.29/x
  3. Step 3: Cross multiply
    2,244.53x = 3,364.67 × 783.29
  4. Step 4: Simplify right side
    2,244.53x = 2,635,491.62
  5. Step 5: Solve for x
    x = 2,635,491.62/2,244.53
  6. Step 6: Final answer
    x = 1,174.19

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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.