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Finding the Fourth Proportional to 1,698.02, 2,546.99 and 543.77

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Solution

The fourth proportional to 1,698.02, 2,546.99 and 543.77 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.02 : 2,546.99 = 543.77 : x
  2. Step 2: Convert to fraction form
    1,698.02/2,546.99 = 543.77/x
  3. Step 3: Cross multiply
    1,698.02x = 2,546.99 × 543.77
  4. Step 4: Simplify right side
    1,698.02x = 1,384,976.75
  5. Step 5: Solve for x
    x = 1,384,976.75/1,698.02
  6. Step 6: Final answer
    x = 815.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.