Home / 1,193.18-1,789.43-462.60

Finding the Fourth Proportional to 1,193.18, 1,789.43 and 462.60

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Solution

The fourth proportional to 1,193.18, 1,789.43 and 462.60 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.18 : 1,789.43 = 462.60 : x
  2. Step 2: Convert to fraction form
    1,193.18/1,789.43 = 462.60/x
  3. Step 3: Cross multiply
    1,193.18x = 1,789.43 × 462.60
  4. Step 4: Simplify right side
    1,193.18x = 827,790.32
  5. Step 5: Solve for x
    x = 827,790.32/1,193.18
  6. Step 6: Final answer
    x = 693.77

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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.