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Finding the Fourth Proportional to 681.64, 1,022.71 and 407.92

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Solution

The fourth proportional to 681.64, 1,022.71 and 407.92 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.64 : 1,022.71 = 407.92 : x
  2. Step 2: Convert to fraction form
    681.64/1,022.71 = 407.92/x
  3. Step 3: Cross multiply
    681.64x = 1,022.71 × 407.92
  4. Step 4: Simplify right side
    681.64x = 417,189.00
  5. Step 5: Solve for x
    x = 417,189.00/681.64
  6. Step 6: Final answer
    x = 612.04

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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.