Home / 1,123.10-1,682.85-968.30

Finding the Fourth Proportional to 1,123.10, 1,682.85 and 968.30

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Solution

The fourth proportional to 1,123.10, 1,682.85 and 968.30 is: 1,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.10 : 1,682.85 = 968.30 : x
  2. Step 2: Convert to fraction form
    1,123.10/1,682.85 = 968.30/x
  3. Step 3: Cross multiply
    1,123.10x = 1,682.85 × 968.30
  4. Step 4: Simplify right side
    1,123.10x = 1,629,503.66
  5. Step 5: Solve for x
    x = 1,629,503.66/1,123.10
  6. Step 6: Final answer
    x = 1,450.90

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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.