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Finding the Fourth Proportional to 1,071.43, 1,605.96 and 608.21

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Solution

The fourth proportional to 1,071.43, 1,605.96 and 608.21 is: 911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.43 : 1,605.96 = 608.21 : x
  2. Step 2: Convert to fraction form
    1,071.43/1,605.96 = 608.21/x
  3. Step 3: Cross multiply
    1,071.43x = 1,605.96 × 608.21
  4. Step 4: Simplify right side
    1,071.43x = 976,758.92
  5. Step 5: Solve for x
    x = 976,758.92/1,071.43
  6. Step 6: Final answer
    x = 911.64

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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.