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Finding the Fourth Proportional to 1,219.49, 1,829.49 and 397.81

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Solution

The fourth proportional to 1,219.49, 1,829.49 and 397.81 is: 596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.49 : 1,829.49 = 397.81 : x
  2. Step 2: Convert to fraction form
    1,219.49/1,829.49 = 397.81/x
  3. Step 3: Cross multiply
    1,219.49x = 1,829.49 × 397.81
  4. Step 4: Simplify right side
    1,219.49x = 727,789.42
  5. Step 5: Solve for x
    x = 727,789.42/1,219.49
  6. Step 6: Final answer
    x = 596.80

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1.5x scale

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.