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Finding the Fourth Proportional to 1,635, 2,256.30 and 899

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Solution

The fourth proportional to 1,635, 2,256.30 and 899 is: 1,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635 : 2,256.30 = 899 : x
  2. Step 2: Convert to fraction form
    1,635/2,256.30 = 899/x
  3. Step 3: Cross multiply
    1,635x = 2,256.30 × 899
  4. Step 4: Simplify right side
    1,635x = 2,028,413.70
  5. Step 5: Solve for x
    x = 2,028,413.70/1,635
  6. Step 6: Final answer
    x = 1,240.62

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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.