Home / 1,219.40-1,829.30-397.49

Finding the Fourth Proportional to 1,219.40, 1,829.30 and 397.49

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Solution

The fourth proportional to 1,219.40, 1,829.30 and 397.49 is: 596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.40 : 1,829.30 = 397.49 : x
  2. Step 2: Convert to fraction form
    1,219.40/1,829.30 = 397.49/x
  3. Step 3: Cross multiply
    1,219.40x = 1,829.30 × 397.49
  4. Step 4: Simplify right side
    1,219.40x = 727,117.32
  5. Step 5: Solve for x
    x = 727,117.32/1,219.40
  6. Step 6: Final answer
    x = 596.29

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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.