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Finding the Fourth Proportional to 547.74, 816.41 and 543.48

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Solution

The fourth proportional to 547.74, 816.41 and 543.48 is: 810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 816.41 = 543.48 : x
  2. Step 2: Convert to fraction form
    547.74/816.41 = 543.48/x
  3. Step 3: Cross multiply
    547.74x = 816.41 × 543.48
  4. Step 4: Simplify right side
    547.74x = 443,699.79
  5. Step 5: Solve for x
    x = 443,699.79/547.74
  6. Step 6: Final answer
    x = 810.06

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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.