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Finding the Fourth Proportional to 853.90, 1,281.08 and 443.32

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Solution

The fourth proportional to 853.90, 1,281.08 and 443.32 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,281.08 = 443.32 : x
  2. Step 2: Convert to fraction form
    853.90/1,281.08 = 443.32/x
  3. Step 3: Cross multiply
    853.90x = 1,281.08 × 443.32
  4. Step 4: Simplify right side
    853.90x = 567,928.39
  5. Step 5: Solve for x
    x = 567,928.39/853.90
  6. Step 6: Final answer
    x = 665.10

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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.