Home / 1,106.11-1,527.06-733.60

Finding the Fourth Proportional to 1,106.11, 1,527.06 and 733.60

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Solution

The fourth proportional to 1,106.11, 1,527.06 and 733.60 is: 1,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.11 : 1,527.06 = 733.60 : x
  2. Step 2: Convert to fraction form
    1,106.11/1,527.06 = 733.60/x
  3. Step 3: Cross multiply
    1,106.11x = 1,527.06 × 733.60
  4. Step 4: Simplify right side
    1,106.11x = 1,120,247.40
  5. Step 5: Solve for x
    x = 1,120,247.40/1,106.11
  6. Step 6: Final answer
    x = 1,012.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.