Home / 1,219.50-1,829.44-397.58

Finding the Fourth Proportional to 1,219.50, 1,829.44 and 397.58

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Solution

The fourth proportional to 1,219.50, 1,829.44 and 397.58 is: 596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.50 : 1,829.44 = 397.58 : x
  2. Step 2: Convert to fraction form
    1,219.50/1,829.44 = 397.58/x
  3. Step 3: Cross multiply
    1,219.50x = 1,829.44 × 397.58
  4. Step 4: Simplify right side
    1,219.50x = 727,348.76
  5. Step 5: Solve for x
    x = 727,348.76/1,219.50
  6. Step 6: Final answer
    x = 596.43

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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.