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Finding the Fourth Proportional to 1,831.20, 2,744.77 and 790.82

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Solution

The fourth proportional to 1,831.20, 2,744.77 and 790.82 is: 1,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.20 : 2,744.77 = 790.82 : x
  2. Step 2: Convert to fraction form
    1,831.20/2,744.77 = 790.82/x
  3. Step 3: Cross multiply
    1,831.20x = 2,744.77 × 790.82
  4. Step 4: Simplify right side
    1,831.20x = 2,170,619.01
  5. Step 5: Solve for x
    x = 2,170,619.01/1,831.20
  6. Step 6: Final answer
    x = 1,185.35

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1.5x scale

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.