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Finding the Fourth Proportional to 1,699.98, 2,550.33 and 546.54

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Solution

The fourth proportional to 1,699.98, 2,550.33 and 546.54 is: 819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.98 : 2,550.33 = 546.54 : x
  2. Step 2: Convert to fraction form
    1,699.98/2,550.33 = 546.54/x
  3. Step 3: Cross multiply
    1,699.98x = 2,550.33 × 546.54
  4. Step 4: Simplify right side
    1,699.98x = 1,393,857.36
  5. Step 5: Solve for x
    x = 1,393,857.36/1,699.98
  6. Step 6: Final answer
    x = 819.93

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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.