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Finding the Fourth Proportional to 681.43, 1,021.16 and 388.32

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Solution

The fourth proportional to 681.43, 1,021.16 and 388.32 is: 581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.43 : 1,021.16 = 388.32 : x
  2. Step 2: Convert to fraction form
    681.43/1,021.16 = 388.32/x
  3. Step 3: Cross multiply
    681.43x = 1,021.16 × 388.32
  4. Step 4: Simplify right side
    681.43x = 396,537.82
  5. Step 5: Solve for x
    x = 396,537.82/681.43
  6. Step 6: Final answer
    x = 581.92

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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.