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Finding the Fourth Proportional to 1,431.93, 2,147.38 and 681.35

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Solution

The fourth proportional to 1,431.93, 2,147.38 and 681.35 is: 1,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.93 : 2,147.38 = 681.35 : x
  2. Step 2: Convert to fraction form
    1,431.93/2,147.38 = 681.35/x
  3. Step 3: Cross multiply
    1,431.93x = 2,147.38 × 681.35
  4. Step 4: Simplify right side
    1,431.93x = 1,463,104.92
  5. Step 5: Solve for x
    x = 1,463,104.92/1,431.93
  6. Step 6: Final answer
    x = 1,021.77

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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.