Home / 1,193.26-1,789.68-315.77

Finding the Fourth Proportional to 1,193.26, 1,789.68 and 315.77

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Solution

The fourth proportional to 1,193.26, 1,789.68 and 315.77 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.26 : 1,789.68 = 315.77 : x
  2. Step 2: Convert to fraction form
    1,193.26/1,789.68 = 315.77/x
  3. Step 3: Cross multiply
    1,193.26x = 1,789.68 × 315.77
  4. Step 4: Simplify right side
    1,193.26x = 565,125.02
  5. Step 5: Solve for x
    x = 565,125.02/1,193.26
  6. Step 6: Final answer
    x = 473.60

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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.