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Finding the Fourth Proportional to 553.20, 824.91 and 548.25

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Solution

The fourth proportional to 553.20, 824.91 and 548.25 is: 817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.20 : 824.91 = 548.25 : x
  2. Step 2: Convert to fraction form
    553.20/824.91 = 548.25/x
  3. Step 3: Cross multiply
    553.20x = 824.91 × 548.25
  4. Step 4: Simplify right side
    553.20x = 452,256.91
  5. Step 5: Solve for x
    x = 452,256.91/553.20
  6. Step 6: Final answer
    x = 817.53

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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.