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Finding the Fourth Proportional to 548.53, 828.74 and 543.67

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Solution

The fourth proportional to 548.53, 828.74 and 543.67 is: 821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.53 : 828.74 = 543.67 : x
  2. Step 2: Convert to fraction form
    548.53/828.74 = 543.67/x
  3. Step 3: Cross multiply
    548.53x = 828.74 × 543.67
  4. Step 4: Simplify right side
    548.53x = 450,560.36
  5. Step 5: Solve for x
    x = 450,560.36/548.53
  6. Step 6: Final answer
    x = 821.40

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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.