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Finding the Fourth Proportional to 1,119.84, 1,679.41 and 775.39

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Solution

The fourth proportional to 1,119.84, 1,679.41 and 775.39 is: 1,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.84 : 1,679.41 = 775.39 : x
  2. Step 2: Convert to fraction form
    1,119.84/1,679.41 = 775.39/x
  3. Step 3: Cross multiply
    1,119.84x = 1,679.41 × 775.39
  4. Step 4: Simplify right side
    1,119.84x = 1,302,197.72
  5. Step 5: Solve for x
    x = 1,302,197.72/1,119.84
  6. Step 6: Final answer
    x = 1,162.84

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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.