Home / 1,220.29-1,829.15-398.35

Finding the Fourth Proportional to 1,220.29, 1,829.15 and 398.35

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Solution

The fourth proportional to 1,220.29, 1,829.15 and 398.35 is: 597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.29 : 1,829.15 = 398.35 : x
  2. Step 2: Convert to fraction form
    1,220.29/1,829.15 = 398.35/x
  3. Step 3: Cross multiply
    1,220.29x = 1,829.15 × 398.35
  4. Step 4: Simplify right side
    1,220.29x = 728,633.40
  5. Step 5: Solve for x
    x = 728,633.40/1,220.29
  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.