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Finding the Fourth Proportional to 547.60, 825.94 and 511.60

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Solution

The fourth proportional to 547.60, 825.94 and 511.60 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 825.94 = 511.60 : x
  2. Step 2: Convert to fraction form
    547.60/825.94 = 511.60/x
  3. Step 3: Cross multiply
    547.60x = 825.94 × 511.60
  4. Step 4: Simplify right side
    547.60x = 422,550.90
  5. Step 5: Solve for x
    x = 422,550.90/547.60
  6. Step 6: Final answer
    x = 771.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.