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Finding the Fourth Proportional to 548.53, 821.44 and 352.91

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Solution

The fourth proportional to 548.53, 821.44 and 352.91 is: 528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.53 : 821.44 = 352.91 : x
  2. Step 2: Convert to fraction form
    548.53/821.44 = 352.91/x
  3. Step 3: Cross multiply
    548.53x = 821.44 × 352.91
  4. Step 4: Simplify right side
    548.53x = 289,894.39
  5. Step 5: Solve for x
    x = 289,894.39/548.53
  6. Step 6: Final answer
    x = 528.49

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1.5x scale

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.