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Finding the Fourth Proportional to 1,486.08, 2,050.84 and 822.99

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Solution

The fourth proportional to 1,486.08, 2,050.84 and 822.99 is: 1,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.08 : 2,050.84 = 822.99 : x
  2. Step 2: Convert to fraction form
    1,486.08/2,050.84 = 822.99/x
  3. Step 3: Cross multiply
    1,486.08x = 2,050.84 × 822.99
  4. Step 4: Simplify right side
    1,486.08x = 1,687,824.90
  5. Step 5: Solve for x
    x = 1,687,824.90/1,486.08
  6. Step 6: Final answer
    x = 1,135.76

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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.