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Finding the Fourth Proportional to 1,090.74, 1,636.65 and 768.18

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Solution

The fourth proportional to 1,090.74, 1,636.65 and 768.18 is: 1,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.74 : 1,636.65 = 768.18 : x
  2. Step 2: Convert to fraction form
    1,090.74/1,636.65 = 768.18/x
  3. Step 3: Cross multiply
    1,090.74x = 1,636.65 × 768.18
  4. Step 4: Simplify right side
    1,090.74x = 1,257,241.80
  5. Step 5: Solve for x
    x = 1,257,241.80/1,090.74
  6. Step 6: Final answer
    x = 1,152.65

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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.