Home / 1,220.56-1,831.24-490.32

Finding the Fourth Proportional to 1,220.56, 1,831.24 and 490.32

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Solution

The fourth proportional to 1,220.56, 1,831.24 and 490.32 is: 735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.56 : 1,831.24 = 490.32 : x
  2. Step 2: Convert to fraction form
    1,220.56/1,831.24 = 490.32/x
  3. Step 3: Cross multiply
    1,220.56x = 1,831.24 × 490.32
  4. Step 4: Simplify right side
    1,220.56x = 897,893.60
  5. Step 5: Solve for x
    x = 897,893.60/1,220.56
  6. Step 6: Final answer
    x = 735.64

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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.