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Finding the Fourth Proportional to 1,122.45, 1,683.67 and 300.73

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Solution

The fourth proportional to 1,122.45, 1,683.67 and 300.73 is: 451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.45 : 1,683.67 = 300.73 : x
  2. Step 2: Convert to fraction form
    1,122.45/1,683.67 = 300.73/x
  3. Step 3: Cross multiply
    1,122.45x = 1,683.67 × 300.73
  4. Step 4: Simplify right side
    1,122.45x = 506,330.08
  5. Step 5: Solve for x
    x = 506,330.08/1,122.45
  6. Step 6: Final answer
    x = 451.09

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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.