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Finding the Fourth Proportional to 1,690.40, 2,533.92 and 825.92

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Solution

The fourth proportional to 1,690.40, 2,533.92 and 825.92 is: 1,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.40 : 2,533.92 = 825.92 : x
  2. Step 2: Convert to fraction form
    1,690.40/2,533.92 = 825.92/x
  3. Step 3: Cross multiply
    1,690.40x = 2,533.92 × 825.92
  4. Step 4: Simplify right side
    1,690.40x = 2,092,815.21
  5. Step 5: Solve for x
    x = 2,092,815.21/1,690.40
  6. Step 6: Final answer
    x = 1,238.06

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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.