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Finding the Fourth Proportional to 1,415.26, 1,953.08 and 855.55

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Solution

The fourth proportional to 1,415.26, 1,953.08 and 855.55 is: 1,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.26 : 1,953.08 = 855.55 : x
  2. Step 2: Convert to fraction form
    1,415.26/1,953.08 = 855.55/x
  3. Step 3: Cross multiply
    1,415.26x = 1,953.08 × 855.55
  4. Step 4: Simplify right side
    1,415.26x = 1,670,957.59
  5. Step 5: Solve for x
    x = 1,670,957.59/1,415.26
  6. Step 6: Final answer
    x = 1,180.67

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