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Finding the Fourth Proportional to 1,205.61, 1,809.11 and 743.64

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Solution

The fourth proportional to 1,205.61, 1,809.11 and 743.64 is: 1,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.61 : 1,809.11 = 743.64 : x
  2. Step 2: Convert to fraction form
    1,205.61/1,809.11 = 743.64/x
  3. Step 3: Cross multiply
    1,205.61x = 1,809.11 × 743.64
  4. Step 4: Simplify right side
    1,205.61x = 1,345,326.56
  5. Step 5: Solve for x
    x = 1,345,326.56/1,205.61
  6. Step 6: Final answer
    x = 1,115.89

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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.