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Finding the Fourth Proportional to 1,072.89, 1,609.32 and 303.39

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Solution

The fourth proportional to 1,072.89, 1,609.32 and 303.39 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.89 : 1,609.32 = 303.39 : x
  2. Step 2: Convert to fraction form
    1,072.89/1,609.32 = 303.39/x
  3. Step 3: Cross multiply
    1,072.89x = 1,609.32 × 303.39
  4. Step 4: Simplify right side
    1,072.89x = 488,251.59
  5. Step 5: Solve for x
    x = 488,251.59/1,072.89
  6. Step 6: Final answer
    x = 455.08

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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.