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Finding the Fourth Proportional to 1,106.87, 1,661.36 and 559.51

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Solution

The fourth proportional to 1,106.87, 1,661.36 and 559.51 is: 839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.87 : 1,661.36 = 559.51 : x
  2. Step 2: Convert to fraction form
    1,106.87/1,661.36 = 559.51/x
  3. Step 3: Cross multiply
    1,106.87x = 1,661.36 × 559.51
  4. Step 4: Simplify right side
    1,106.87x = 929,540.58
  5. Step 5: Solve for x
    x = 929,540.58/1,106.87
  6. Step 6: Final answer
    x = 839.80

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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.