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Finding the Fourth Proportional to 2,190.33, 3,285.45 and 546.89

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Solution

The fourth proportional to 2,190.33, 3,285.45 and 546.89 is: 820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.33 : 3,285.45 = 546.89 : x
  2. Step 2: Convert to fraction form
    2,190.33/3,285.45 = 546.89/x
  3. Step 3: Cross multiply
    2,190.33x = 3,285.45 × 546.89
  4. Step 4: Simplify right side
    2,190.33x = 1,796,763.32
  5. Step 5: Solve for x
    x = 1,796,763.32/2,190.33
  6. Step 6: Final answer
    x = 820.32

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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.