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Finding the Fourth Proportional to 681.46, 1,021.36 and 389.22

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Solution

The fourth proportional to 681.46, 1,021.36 and 389.22 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.46 : 1,021.36 = 389.22 : x
  2. Step 2: Convert to fraction form
    681.46/1,021.36 = 389.22/x
  3. Step 3: Cross multiply
    681.46x = 1,021.36 × 389.22
  4. Step 4: Simplify right side
    681.46x = 397,533.74
  5. Step 5: Solve for x
    x = 397,533.74/681.46
  6. Step 6: Final answer
    x = 583.36

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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.