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Finding the Fourth Proportional to 681.92, 1,023.06 and 392.72

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Solution

The fourth proportional to 681.92, 1,023.06 and 392.72 is: 589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.92 : 1,023.06 = 392.72 : x
  2. Step 2: Convert to fraction form
    681.92/1,023.06 = 392.72/x
  3. Step 3: Cross multiply
    681.92x = 1,023.06 × 392.72
  4. Step 4: Simplify right side
    681.92x = 401,776.12
  5. Step 5: Solve for x
    x = 401,776.12/681.92
  6. Step 6: Final answer
    x = 589.18

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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.