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Finding the Fourth Proportional to 1,747.33, 2,621.09 and 561.47

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Solution

The fourth proportional to 1,747.33, 2,621.09 and 561.47 is: 842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.33 : 2,621.09 = 561.47 : x
  2. Step 2: Convert to fraction form
    1,747.33/2,621.09 = 561.47/x
  3. Step 3: Cross multiply
    1,747.33x = 2,621.09 × 561.47
  4. Step 4: Simplify right side
    1,747.33x = 1,471,654.04
  5. Step 5: Solve for x
    x = 1,471,654.04/1,747.33
  6. Step 6: Final answer
    x = 842.23

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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.