Home / 1,220.74-1,829.98-398.60

Finding the Fourth Proportional to 1,220.74, 1,829.98 and 398.60

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Solution

The fourth proportional to 1,220.74, 1,829.98 and 398.60 is: 597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.74 : 1,829.98 = 398.60 : x
  2. Step 2: Convert to fraction form
    1,220.74/1,829.98 = 398.60/x
  3. Step 3: Cross multiply
    1,220.74x = 1,829.98 × 398.60
  4. Step 4: Simplify right side
    1,220.74x = 729,430.03
  5. Step 5: Solve for x
    x = 729,430.03/1,220.74
  6. Step 6: Final answer
    x = 597.53

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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.