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Finding the Fourth Proportional to 1,072.52, 1,609.04 and 303

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Solution

The fourth proportional to 1,072.52, 1,609.04 and 303 is: 454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.52 : 1,609.04 = 303 : x
  2. Step 2: Convert to fraction form
    1,072.52/1,609.04 = 303/x
  3. Step 3: Cross multiply
    1,072.52x = 1,609.04 × 303
  4. Step 4: Simplify right side
    1,072.52x = 487,539.12
  5. Step 5: Solve for x
    x = 487,539.12/1,072.52
  6. Step 6: Final answer
    x = 454.57

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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.