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Finding the Fourth Proportional to 853.80, 1,280.16 and 443.40

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Solution

The fourth proportional to 853.80, 1,280.16 and 443.40 is: 664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.80 : 1,280.16 = 443.40 : x
  2. Step 2: Convert to fraction form
    853.80/1,280.16 = 443.40/x
  3. Step 3: Cross multiply
    853.80x = 1,280.16 × 443.40
  4. Step 4: Simplify right side
    853.80x = 567,622.94
  5. Step 5: Solve for x
    x = 567,622.94/853.80
  6. Step 6: Final answer
    x = 664.82

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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.