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Finding the Fourth Proportional to 853.55, 1,280.27 and 305.73

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Solution

The fourth proportional to 853.55, 1,280.27 and 305.73 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.55 : 1,280.27 = 305.73 : x
  2. Step 2: Convert to fraction form
    853.55/1,280.27 = 305.73/x
  3. Step 3: Cross multiply
    853.55x = 1,280.27 × 305.73
  4. Step 4: Simplify right side
    853.55x = 391,415.42
  5. Step 5: Solve for x
    x = 391,415.42/853.55
  6. Step 6: Final answer
    x = 458.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.