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Finding the Fourth Proportional to 548.51, 822.75 and 457

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Solution

The fourth proportional to 548.51, 822.75 and 457 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 822.75 = 457 : x
  2. Step 2: Convert to fraction form
    548.51/822.75 = 457/x
  3. Step 3: Cross multiply
    548.51x = 822.75 × 457
  4. Step 4: Simplify right side
    548.51x = 375,996.75
  5. Step 5: Solve for x
    x = 375,996.75/548.51
  6. Step 6: Final answer
    x = 685.49

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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.