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Finding the Fourth Proportional to 1,485.54, 2,049.90 and 822.38

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Solution

The fourth proportional to 1,485.54, 2,049.90 and 822.38 is: 1,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.54 : 2,049.90 = 822.38 : x
  2. Step 2: Convert to fraction form
    1,485.54/2,049.90 = 822.38/x
  3. Step 3: Cross multiply
    1,485.54x = 2,049.90 × 822.38
  4. Step 4: Simplify right side
    1,485.54x = 1,685,796.76
  5. Step 5: Solve for x
    x = 1,685,796.76/1,485.54
  6. Step 6: Final answer
    x = 1,134.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.