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Finding the Fourth Proportional to 553.70, 825.66 and 548.75

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Solution

The fourth proportional to 553.70, 825.66 and 548.75 is: 818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 825.66 = 548.75 : x
  2. Step 2: Convert to fraction form
    553.70/825.66 = 548.75/x
  3. Step 3: Cross multiply
    553.70x = 825.66 × 548.75
  4. Step 4: Simplify right side
    553.70x = 453,080.93
  5. Step 5: Solve for x
    x = 453,080.93/553.70
  6. Step 6: Final answer
    x = 818.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.