Home / 1,220.16-1,829.64-398.22

Finding the Fourth Proportional to 1,220.16, 1,829.64 and 398.22

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Solution

The fourth proportional to 1,220.16, 1,829.64 and 398.22 is: 597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.16 : 1,829.64 = 398.22 : x
  2. Step 2: Convert to fraction form
    1,220.16/1,829.64 = 398.22/x
  3. Step 3: Cross multiply
    1,220.16x = 1,829.64 × 398.22
  4. Step 4: Simplify right side
    1,220.16x = 728,599.24
  5. Step 5: Solve for x
    x = 728,599.24/1,220.16
  6. Step 6: Final answer
    x = 597.13

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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.