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Finding the Fourth Proportional to 1,122.50, 1,683.99 and 342.49

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Solution

The fourth proportional to 1,122.50, 1,683.99 and 342.49 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.50 : 1,683.99 = 342.49 : x
  2. Step 2: Convert to fraction form
    1,122.50/1,683.99 = 342.49/x
  3. Step 3: Cross multiply
    1,122.50x = 1,683.99 × 342.49
  4. Step 4: Simplify right side
    1,122.50x = 576,745.72
  5. Step 5: Solve for x
    x = 576,745.72/1,122.50
  6. Step 6: Final answer
    x = 513.80

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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.