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Finding the Fourth Proportional to 1,119.48, 1,679.61 and 786.29

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Solution

The fourth proportional to 1,119.48, 1,679.61 and 786.29 is: 1,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.48 : 1,679.61 = 786.29 : x
  2. Step 2: Convert to fraction form
    1,119.48/1,679.61 = 786.29/x
  3. Step 3: Cross multiply
    1,119.48x = 1,679.61 × 786.29
  4. Step 4: Simplify right side
    1,119.48x = 1,320,652.15
  5. Step 5: Solve for x
    x = 1,320,652.15/1,119.48
  6. Step 6: Final answer
    x = 1,179.70

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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.