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Finding the Fourth Proportional to 1,083.25, 1,624.78 and 303.33

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Solution

The fourth proportional to 1,083.25, 1,624.78 and 303.33 is: 454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.25 : 1,624.78 = 303.33 : x
  2. Step 2: Convert to fraction form
    1,083.25/1,624.78 = 303.33/x
  3. Step 3: Cross multiply
    1,083.25x = 1,624.78 × 303.33
  4. Step 4: Simplify right side
    1,083.25x = 492,835.64
  5. Step 5: Solve for x
    x = 492,835.64/1,083.25
  6. Step 6: Final answer
    x = 454.96

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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.