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Finding the Fourth Proportional to 1,328.22, 1,992.87 and 670.71

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Solution

The fourth proportional to 1,328.22, 1,992.87 and 670.71 is: 1,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.22 : 1,992.87 = 670.71 : x
  2. Step 2: Convert to fraction form
    1,328.22/1,992.87 = 670.71/x
  3. Step 3: Cross multiply
    1,328.22x = 1,992.87 × 670.71
  4. Step 4: Simplify right side
    1,328.22x = 1,336,637.84
  5. Step 5: Solve for x
    x = 1,336,637.84/1,328.22
  6. Step 6: Final answer
    x = 1,006.34

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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.