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Finding the Fourth Proportional to 1,119.63, 1,544.96 and 622.23

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Solution

The fourth proportional to 1,119.63, 1,544.96 and 622.23 is: 858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.63 : 1,544.96 = 622.23 : x
  2. Step 2: Convert to fraction form
    1,119.63/1,544.96 = 622.23/x
  3. Step 3: Cross multiply
    1,119.63x = 1,544.96 × 622.23
  4. Step 4: Simplify right side
    1,119.63x = 961,317.35
  5. Step 5: Solve for x
    x = 961,317.35/1,119.63
  6. Step 6: Final answer
    x = 858.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.