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Finding the Fourth Proportional to 547.22, 817.01 and 543.38

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Solution

The fourth proportional to 547.22, 817.01 and 543.38 is: 811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 817.01 = 543.38 : x
  2. Step 2: Convert to fraction form
    547.22/817.01 = 543.38/x
  3. Step 3: Cross multiply
    547.22x = 817.01 × 543.38
  4. Step 4: Simplify right side
    547.22x = 443,946.89
  5. Step 5: Solve for x
    x = 443,946.89/547.22
  6. Step 6: Final answer
    x = 811.28

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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.