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Finding the Fourth Proportional to 1,831.02, 2,744.87 and 660.74

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Solution

The fourth proportional to 1,831.02, 2,744.87 and 660.74 is: 990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.02 : 2,744.87 = 660.74 : x
  2. Step 2: Convert to fraction form
    1,831.02/2,744.87 = 660.74/x
  3. Step 3: Cross multiply
    1,831.02x = 2,744.87 × 660.74
  4. Step 4: Simplify right side
    1,831.02x = 1,813,653.92
  5. Step 5: Solve for x
    x = 1,813,653.92/1,831.02
  6. Step 6: Final answer
    x = 990.52

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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.