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Finding the Fourth Proportional to 1,091.02, 1,636.42 and 310.96

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Solution

The fourth proportional to 1,091.02, 1,636.42 and 310.96 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.02 : 1,636.42 = 310.96 : x
  2. Step 2: Convert to fraction form
    1,091.02/1,636.42 = 310.96/x
  3. Step 3: Cross multiply
    1,091.02x = 1,636.42 × 310.96
  4. Step 4: Simplify right side
    1,091.02x = 508,861.16
  5. Step 5: Solve for x
    x = 508,861.16/1,091.02
  6. Step 6: Final answer
    x = 466.41

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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.