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Finding the Fourth Proportional to 1,319.41, 1,978.89 and 441.79

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Solution

The fourth proportional to 1,319.41, 1,978.89 and 441.79 is: 662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.41 : 1,978.89 = 441.79 : x
  2. Step 2: Convert to fraction form
    1,319.41/1,978.89 = 441.79/x
  3. Step 3: Cross multiply
    1,319.41x = 1,978.89 × 441.79
  4. Step 4: Simplify right side
    1,319.41x = 874,253.81
  5. Step 5: Solve for x
    x = 874,253.81/1,319.41
  6. Step 6: Final answer
    x = 662.61

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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.