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Finding the Fourth Proportional to 1,083.33, 1,624.82 and 303.41

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Solution

The fourth proportional to 1,083.33, 1,624.82 and 303.41 is: 455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.33 : 1,624.82 = 303.41 : x
  2. Step 2: Convert to fraction form
    1,083.33/1,624.82 = 303.41/x
  3. Step 3: Cross multiply
    1,083.33x = 1,624.82 × 303.41
  4. Step 4: Simplify right side
    1,083.33x = 492,989.18
  5. Step 5: Solve for x
    x = 492,989.18/1,083.33
  6. Step 6: Final answer
    x = 455.07

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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.