Home / 1,193.30-1,790.07-315.80

Finding the Fourth Proportional to 1,193.30, 1,790.07 and 315.80

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Solution

The fourth proportional to 1,193.30, 1,790.07 and 315.80 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.30 : 1,790.07 = 315.80 : x
  2. Step 2: Convert to fraction form
    1,193.30/1,790.07 = 315.80/x
  3. Step 3: Cross multiply
    1,193.30x = 1,790.07 × 315.80
  4. Step 4: Simplify right side
    1,193.30x = 565,300.68
  5. Step 5: Solve for x
    x = 565,300.68/1,193.30
  6. Step 6: Final answer
    x = 473.73

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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.