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Finding the Fourth Proportional to 1,077.09, 1,485.84 and 855.55

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Solution

The fourth proportional to 1,077.09, 1,485.84 and 855.55 is: 1,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.09 : 1,485.84 = 855.55 : x
  2. Step 2: Convert to fraction form
    1,077.09/1,485.84 = 855.55/x
  3. Step 3: Cross multiply
    1,077.09x = 1,485.84 × 855.55
  4. Step 4: Simplify right side
    1,077.09x = 1,271,210.41
  5. Step 5: Solve for x
    x = 1,271,210.41/1,077.09
  6. Step 6: Final answer
    x = 1,180.23

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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.