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Finding the Fourth Proportional to 681.22, 1,022.08 and 407.50

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Solution

The fourth proportional to 681.22, 1,022.08 and 407.50 is: 611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.22 : 1,022.08 = 407.50 : x
  2. Step 2: Convert to fraction form
    681.22/1,022.08 = 407.50/x
  3. Step 3: Cross multiply
    681.22x = 1,022.08 × 407.50
  4. Step 4: Simplify right side
    681.22x = 416,497.52
  5. Step 5: Solve for x
    x = 416,497.52/681.22
  6. Step 6: Final answer
    x = 611.40

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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.