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Finding the Fourth Proportional to 1,219.56, 1,828.37 and 488.73

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Solution

The fourth proportional to 1,219.56, 1,828.37 and 488.73 is: 732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.56 : 1,828.37 = 488.73 : x
  2. Step 2: Convert to fraction form
    1,219.56/1,828.37 = 488.73/x
  3. Step 3: Cross multiply
    1,219.56x = 1,828.37 × 488.73
  4. Step 4: Simplify right side
    1,219.56x = 893,587.35
  5. Step 5: Solve for x
    x = 893,587.35/1,219.56
  6. Step 6: Final answer
    x = 732.72

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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.