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Finding the Fourth Proportional to 553.55, 836.58 and 543.98

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Solution

The fourth proportional to 553.55, 836.58 and 543.98 is: 822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.55 : 836.58 = 543.98 : x
  2. Step 2: Convert to fraction form
    553.55/836.58 = 543.98/x
  3. Step 3: Cross multiply
    553.55x = 836.58 × 543.98
  4. Step 4: Simplify right side
    553.55x = 455,078.61
  5. Step 5: Solve for x
    x = 455,078.61/553.55
  6. Step 6: Final answer
    x = 822.12

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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.