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Finding the Fourth Proportional to 1,107.15, 1,661.31 and 846.99

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Solution

The fourth proportional to 1,107.15, 1,661.31 and 846.99 is: 1,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.15 : 1,661.31 = 846.99 : x
  2. Step 2: Convert to fraction form
    1,107.15/1,661.31 = 846.99/x
  3. Step 3: Cross multiply
    1,107.15x = 1,661.31 × 846.99
  4. Step 4: Simplify right side
    1,107.15x = 1,407,112.96
  5. Step 5: Solve for x
    x = 1,407,112.96/1,107.15
  6. Step 6: Final answer
    x = 1,270.93

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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.