Home / 1,220.03-1,829.65-398.15

Finding the Fourth Proportional to 1,220.03, 1,829.65 and 398.15

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Solution

The fourth proportional to 1,220.03, 1,829.65 and 398.15 is: 597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.03 : 1,829.65 = 398.15 : x
  2. Step 2: Convert to fraction form
    1,220.03/1,829.65 = 398.15/x
  3. Step 3: Cross multiply
    1,220.03x = 1,829.65 × 398.15
  4. Step 4: Simplify right side
    1,220.03x = 728,475.15
  5. Step 5: Solve for x
    x = 728,475.15/1,220.03
  6. Step 6: Final answer
    x = 597.10

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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.