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Finding the Fourth Proportional to 1,091.87, 1,636.49 and 506.07

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Solution

The fourth proportional to 1,091.87, 1,636.49 and 506.07 is: 758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.87 : 1,636.49 = 506.07 : x
  2. Step 2: Convert to fraction form
    1,091.87/1,636.49 = 506.07/x
  3. Step 3: Cross multiply
    1,091.87x = 1,636.49 × 506.07
  4. Step 4: Simplify right side
    1,091.87x = 828,185.90
  5. Step 5: Solve for x
    x = 828,185.90/1,091.87
  6. Step 6: Final answer
    x = 758.50

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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.