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Finding the Fourth Proportional to 853.98, 1,281.14 and 443.02

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Solution

The fourth proportional to 853.98, 1,281.14 and 443.02 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,281.14 = 443.02 : x
  2. Step 2: Convert to fraction form
    853.98/1,281.14 = 443.02/x
  3. Step 3: Cross multiply
    853.98x = 1,281.14 × 443.02
  4. Step 4: Simplify right side
    853.98x = 567,570.64
  5. Step 5: Solve for x
    x = 567,570.64/853.98
  6. Step 6: Final answer
    x = 664.62

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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.