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Finding the Fourth Proportional to 1,474.98, 2,035.42 and 811.84

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Solution

The fourth proportional to 1,474.98, 2,035.42 and 811.84 is: 1,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.98 : 2,035.42 = 811.84 : x
  2. Step 2: Convert to fraction form
    1,474.98/2,035.42 = 811.84/x
  3. Step 3: Cross multiply
    1,474.98x = 2,035.42 × 811.84
  4. Step 4: Simplify right side
    1,474.98x = 1,652,435.37
  5. Step 5: Solve for x
    x = 1,652,435.37/1,474.98
  6. Step 6: Final answer
    x = 1,120.31

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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.