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Finding the Fourth Proportional to 1,090.75, 1,636.05 and 360.31

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Solution

The fourth proportional to 1,090.75, 1,636.05 and 360.31 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.75 : 1,636.05 = 360.31 : x
  2. Step 2: Convert to fraction form
    1,090.75/1,636.05 = 360.31/x
  3. Step 3: Cross multiply
    1,090.75x = 1,636.05 × 360.31
  4. Step 4: Simplify right side
    1,090.75x = 589,485.18
  5. Step 5: Solve for x
    x = 589,485.18/1,090.75
  6. Step 6: Final answer
    x = 540.44

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1.5x scale

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.