Home / 1,289.27-1,778.64-823.25

Finding the Fourth Proportional to 1,289.27, 1,778.64 and 823.25

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Solution

The fourth proportional to 1,289.27, 1,778.64 and 823.25 is: 1,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.27 : 1,778.64 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,289.27/1,778.64 = 823.25/x
  3. Step 3: Cross multiply
    1,289.27x = 1,778.64 × 823.25
  4. Step 4: Simplify right side
    1,289.27x = 1,464,265.38
  5. Step 5: Solve for x
    x = 1,464,265.38/1,289.27
  6. Step 6: Final answer
    x = 1,135.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.