Home / 1,220.13-1,829.71-398.20

Finding the Fourth Proportional to 1,220.13, 1,829.71 and 398.20

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Solution

The fourth proportional to 1,220.13, 1,829.71 and 398.20 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.13 : 1,829.71 = 398.20 : x
  2. Step 2: Convert to fraction form
    1,220.13/1,829.71 = 398.20/x
  3. Step 3: Cross multiply
    1,220.13x = 1,829.71 × 398.20
  4. Step 4: Simplify right side
    1,220.13x = 728,590.52
  5. Step 5: Solve for x
    x = 728,590.52/1,220.13
  6. Step 6: Final answer
    x = 597.14

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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.