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Finding the Fourth Proportional to 553.34, 836.30 and 543.78

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Solution

The fourth proportional to 553.34, 836.30 and 543.78 is: 821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.34 : 836.30 = 543.78 : x
  2. Step 2: Convert to fraction form
    553.34/836.30 = 543.78/x
  3. Step 3: Cross multiply
    553.34x = 836.30 × 543.78
  4. Step 4: Simplify right side
    553.34x = 454,764.57
  5. Step 5: Solve for x
    x = 454,764.57/553.34
  6. Step 6: Final answer
    x = 821.85

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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.