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Finding the Fourth Proportional to 1,110.78, 1,666.41 and 330.84

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Solution

The fourth proportional to 1,110.78, 1,666.41 and 330.84 is: 496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.78 : 1,666.41 = 330.84 : x
  2. Step 2: Convert to fraction form
    1,110.78/1,666.41 = 330.84/x
  3. Step 3: Cross multiply
    1,110.78x = 1,666.41 × 330.84
  4. Step 4: Simplify right side
    1,110.78x = 551,315.08
  5. Step 5: Solve for x
    x = 551,315.08/1,110.78
  6. Step 6: Final answer
    x = 496.33

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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.