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Finding the Fourth Proportional to 1,100.96, 1,649.64 and 666.80

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Solution

The fourth proportional to 1,100.96, 1,649.64 and 666.80 is: 999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.96 : 1,649.64 = 666.80 : x
  2. Step 2: Convert to fraction form
    1,100.96/1,649.64 = 666.80/x
  3. Step 3: Cross multiply
    1,100.96x = 1,649.64 × 666.80
  4. Step 4: Simplify right side
    1,100.96x = 1,099,979.95
  5. Step 5: Solve for x
    x = 1,099,979.95/1,100.96
  6. Step 6: Final answer
    x = 999.11

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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.