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Finding the Fourth Proportional to 1,091.45, 1,636.62 and 360.90

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Solution

The fourth proportional to 1,091.45, 1,636.62 and 360.90 is: 541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.45 : 1,636.62 = 360.90 : x
  2. Step 2: Convert to fraction form
    1,091.45/1,636.62 = 360.90/x
  3. Step 3: Cross multiply
    1,091.45x = 1,636.62 × 360.90
  4. Step 4: Simplify right side
    1,091.45x = 590,656.16
  5. Step 5: Solve for x
    x = 590,656.16/1,091.45
  6. Step 6: Final answer
    x = 541.17

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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.