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Finding the Fourth Proportional to 1,081.62, 1,621.98 and 670.14

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Solution

The fourth proportional to 1,081.62, 1,621.98 and 670.14 is: 1,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.62 : 1,621.98 = 670.14 : x
  2. Step 2: Convert to fraction form
    1,081.62/1,621.98 = 670.14/x
  3. Step 3: Cross multiply
    1,081.62x = 1,621.98 × 670.14
  4. Step 4: Simplify right side
    1,081.62x = 1,086,953.68
  5. Step 5: Solve for x
    x = 1,086,953.68/1,081.62
  6. Step 6: Final answer
    x = 1,004.93

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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.