Home / 1,221.60-1,831.16-490.44

Finding the Fourth Proportional to 1,221.60, 1,831.16 and 490.44

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Solution

The fourth proportional to 1,221.60, 1,831.16 and 490.44 is: 735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.60 : 1,831.16 = 490.44 : x
  2. Step 2: Convert to fraction form
    1,221.60/1,831.16 = 490.44/x
  3. Step 3: Cross multiply
    1,221.60x = 1,831.16 × 490.44
  4. Step 4: Simplify right side
    1,221.60x = 898,074.11
  5. Step 5: Solve for x
    x = 898,074.11/1,221.60
  6. Step 6: Final answer
    x = 735.16

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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.