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Finding the Fourth Proportional to 681.42, 1,021.31 and 474.87

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Solution

The fourth proportional to 681.42, 1,021.31 and 474.87 is: 711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.42 : 1,021.31 = 474.87 : x
  2. Step 2: Convert to fraction form
    681.42/1,021.31 = 474.87/x
  3. Step 3: Cross multiply
    681.42x = 1,021.31 × 474.87
  4. Step 4: Simplify right side
    681.42x = 484,984.37
  5. Step 5: Solve for x
    x = 484,984.37/681.42
  6. Step 6: Final answer
    x = 711.73

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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.