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Finding the Fourth Proportional to 548.39, 828.55 and 543.53

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Solution

The fourth proportional to 548.39, 828.55 and 543.53 is: 821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.39 : 828.55 = 543.53 : x
  2. Step 2: Convert to fraction form
    548.39/828.55 = 543.53/x
  3. Step 3: Cross multiply
    548.39x = 828.55 × 543.53
  4. Step 4: Simplify right side
    548.39x = 450,341.78
  5. Step 5: Solve for x
    x = 450,341.78/548.39
  6. Step 6: Final answer
    x = 821.21

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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.