Home / 1,220.74-1,831.19-490.23

Finding the Fourth Proportional to 1,220.74, 1,831.19 and 490.23

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Solution

The fourth proportional to 1,220.74, 1,831.19 and 490.23 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.74 : 1,831.19 = 490.23 : x
  2. Step 2: Convert to fraction form
    1,220.74/1,831.19 = 490.23/x
  3. Step 3: Cross multiply
    1,220.74x = 1,831.19 × 490.23
  4. Step 4: Simplify right side
    1,220.74x = 897,701.82
  5. Step 5: Solve for x
    x = 897,701.82/1,220.74
  6. Step 6: Final answer
    x = 735.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.