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Finding the Fourth Proportional to 1,071.66, 1,608.30 and 422.04

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Solution

The fourth proportional to 1,071.66, 1,608.30 and 422.04 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.66 : 1,608.30 = 422.04 : x
  2. Step 2: Convert to fraction form
    1,071.66/1,608.30 = 422.04/x
  3. Step 3: Cross multiply
    1,071.66x = 1,608.30 × 422.04
  4. Step 4: Simplify right side
    1,071.66x = 678,766.93
  5. Step 5: Solve for x
    x = 678,766.93/1,071.66
  6. Step 6: Final answer
    x = 633.38

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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.