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Finding the Fourth Proportional to 1,302.27, 1,797.75 and 805.19

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Solution

The fourth proportional to 1,302.27, 1,797.75 and 805.19 is: 1,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.27 : 1,797.75 = 805.19 : x
  2. Step 2: Convert to fraction form
    1,302.27/1,797.75 = 805.19/x
  3. Step 3: Cross multiply
    1,302.27x = 1,797.75 × 805.19
  4. Step 4: Simplify right side
    1,302.27x = 1,447,521.33
  5. Step 5: Solve for x
    x = 1,447,521.33/1,302.27
  6. Step 6: Final answer
    x = 1,111.54

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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.