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Finding the Fourth Proportional to 681.65, 1,021.04 and 496.43

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Solution

The fourth proportional to 681.65, 1,021.04 and 496.43 is: 743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.65 : 1,021.04 = 496.43 : x
  2. Step 2: Convert to fraction form
    681.65/1,021.04 = 496.43/x
  3. Step 3: Cross multiply
    681.65x = 1,021.04 × 496.43
  4. Step 4: Simplify right side
    681.65x = 506,872.99
  5. Step 5: Solve for x
    x = 506,872.99/681.65
  6. Step 6: Final answer
    x = 743.60

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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.