Home / 1,601.27-2,209.77-902.65

Finding the Fourth Proportional to 1,601.27, 2,209.77 and 902.65

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Solution

The fourth proportional to 1,601.27, 2,209.77 and 902.65 is: 1,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.27 : 2,209.77 = 902.65 : x
  2. Step 2: Convert to fraction form
    1,601.27/2,209.77 = 902.65/x
  3. Step 3: Cross multiply
    1,601.27x = 2,209.77 × 902.65
  4. Step 4: Simplify right side
    1,601.27x = 1,994,637.84
  5. Step 5: Solve for x
    x = 1,994,637.84/1,601.27
  6. Step 6: Final answer
    x = 1,245.66

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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.