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Finding the Fourth Proportional to 3,270.40, 4,905.61 and 805.28

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Solution

The fourth proportional to 3,270.40, 4,905.61 and 805.28 is: 1,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.40 : 4,905.61 = 805.28 : x
  2. Step 2: Convert to fraction form
    3,270.40/4,905.61 = 805.28/x
  3. Step 3: Cross multiply
    3,270.40x = 4,905.61 × 805.28
  4. Step 4: Simplify right side
    3,270.40x = 3,950,363.08
  5. Step 5: Solve for x
    x = 3,950,363.08/3,270.40
  6. Step 6: Final answer
    x = 1,207.92

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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.