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Finding the Fourth Proportional to 1,804.97, 2,706.98 and 506.13

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Solution

The fourth proportional to 1,804.97, 2,706.98 and 506.13 is: 759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.97 : 2,706.98 = 506.13 : x
  2. Step 2: Convert to fraction form
    1,804.97/2,706.98 = 506.13/x
  3. Step 3: Cross multiply
    1,804.97x = 2,706.98 × 506.13
  4. Step 4: Simplify right side
    1,804.97x = 1,370,081.26
  5. Step 5: Solve for x
    x = 1,370,081.26/1,804.97
  6. Step 6: Final answer
    x = 759.06

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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.