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Finding the Fourth Proportional to 1,520.95, 2,098.91 and 857.79

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Solution

The fourth proportional to 1,520.95, 2,098.91 and 857.79 is: 1,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.95 : 2,098.91 = 857.79 : x
  2. Step 2: Convert to fraction form
    1,520.95/2,098.91 = 857.79/x
  3. Step 3: Cross multiply
    1,520.95x = 2,098.91 × 857.79
  4. Step 4: Simplify right side
    1,520.95x = 1,800,424.01
  5. Step 5: Solve for x
    x = 1,800,424.01/1,520.95
  6. Step 6: Final answer
    x = 1,183.75

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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.