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Finding the Fourth Proportional to 1,122.33, 1,683.86 and 472.89

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Solution

The fourth proportional to 1,122.33, 1,683.86 and 472.89 is: 709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.33 : 1,683.86 = 472.89 : x
  2. Step 2: Convert to fraction form
    1,122.33/1,683.86 = 472.89/x
  3. Step 3: Cross multiply
    1,122.33x = 1,683.86 × 472.89
  4. Step 4: Simplify right side
    1,122.33x = 796,280.56
  5. Step 5: Solve for x
    x = 796,280.56/1,122.33
  6. Step 6: Final answer
    x = 709.49

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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.