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Finding the Fourth Proportional to 1,106.75, 1,661.15 and 559.32

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Solution

The fourth proportional to 1,106.75, 1,661.15 and 559.32 is: 839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.75 : 1,661.15 = 559.32 : x
  2. Step 2: Convert to fraction form
    1,106.75/1,661.15 = 559.32/x
  3. Step 3: Cross multiply
    1,106.75x = 1,661.15 × 559.32
  4. Step 4: Simplify right side
    1,106.75x = 929,114.42
  5. Step 5: Solve for x
    x = 929,114.42/1,106.75
  6. Step 6: Final answer
    x = 839.50

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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.