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Finding the Fourth Proportional to 1,091.50, 1,636.86 and 475.18

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Solution

The fourth proportional to 1,091.50, 1,636.86 and 475.18 is: 712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.50 : 1,636.86 = 475.18 : x
  2. Step 2: Convert to fraction form
    1,091.50/1,636.86 = 475.18/x
  3. Step 3: Cross multiply
    1,091.50x = 1,636.86 × 475.18
  4. Step 4: Simplify right side
    1,091.50x = 777,803.13
  5. Step 5: Solve for x
    x = 777,803.13/1,091.50
  6. Step 6: Final answer
    x = 712.60

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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.