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Finding the Fourth Proportional to 547.92, 816.62 and 543.40

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Solution

The fourth proportional to 547.92, 816.62 and 543.40 is: 809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 816.62 = 543.40 : x
  2. Step 2: Convert to fraction form
    547.92/816.62 = 543.40/x
  3. Step 3: Cross multiply
    547.92x = 816.62 × 543.40
  4. Step 4: Simplify right side
    547.92x = 443,751.31
  5. Step 5: Solve for x
    x = 443,751.31/547.92
  6. Step 6: Final answer
    x = 809.88

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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.