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Finding the Fourth Proportional to 1,110.78, 1,666.71 and 764.64

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Solution

The fourth proportional to 1,110.78, 1,666.71 and 764.64 is: 1,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.78 : 1,666.71 = 764.64 : x
  2. Step 2: Convert to fraction form
    1,110.78/1,666.71 = 764.64/x
  3. Step 3: Cross multiply
    1,110.78x = 1,666.71 × 764.64
  4. Step 4: Simplify right side
    1,110.78x = 1,274,433.13
  5. Step 5: Solve for x
    x = 1,274,433.13/1,110.78
  6. Step 6: Final answer
    x = 1,147.33

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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.