Home / 1,219.23-1,829.30-397.52

Finding the Fourth Proportional to 1,219.23, 1,829.30 and 397.52

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Solution

The fourth proportional to 1,219.23, 1,829.30 and 397.52 is: 596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.23 : 1,829.30 = 397.52 : x
  2. Step 2: Convert to fraction form
    1,219.23/1,829.30 = 397.52/x
  3. Step 3: Cross multiply
    1,219.23x = 1,829.30 × 397.52
  4. Step 4: Simplify right side
    1,219.23x = 727,172.20
  5. Step 5: Solve for x
    x = 727,172.20/1,219.23
  6. Step 6: Final answer
    x = 596.42

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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.