Home / 1,220.48-1,829.12-490.56

Finding the Fourth Proportional to 1,220.48, 1,829.12 and 490.56

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Solution

The fourth proportional to 1,220.48, 1,829.12 and 490.56 is: 735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.48 : 1,829.12 = 490.56 : x
  2. Step 2: Convert to fraction form
    1,220.48/1,829.12 = 490.56/x
  3. Step 3: Cross multiply
    1,220.48x = 1,829.12 × 490.56
  4. Step 4: Simplify right side
    1,220.48x = 897,290.65
  5. Step 5: Solve for x
    x = 897,290.65/1,220.48
  6. Step 6: Final answer
    x = 735.20

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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.