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Finding the Fourth Proportional to 859.94, 1,289.34 and 443.74

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Solution

The fourth proportional to 859.94, 1,289.34 and 443.74 is: 665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.94 : 1,289.34 = 443.74 : x
  2. Step 2: Convert to fraction form
    859.94/1,289.34 = 443.74/x
  3. Step 3: Cross multiply
    859.94x = 1,289.34 × 443.74
  4. Step 4: Simplify right side
    859.94x = 572,131.73
  5. Step 5: Solve for x
    x = 572,131.73/859.94
  6. Step 6: Final answer
    x = 665.32

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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.