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Finding the Fourth Proportional to 838.58, 1,252.23 and 684.81

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Solution

The fourth proportional to 838.58, 1,252.23 and 684.81 is: 1,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.58 : 1,252.23 = 684.81 : x
  2. Step 2: Convert to fraction form
    838.58/1,252.23 = 684.81/x
  3. Step 3: Cross multiply
    838.58x = 1,252.23 × 684.81
  4. Step 4: Simplify right side
    838.58x = 857,539.63
  5. Step 5: Solve for x
    x = 857,539.63/838.58
  6. Step 6: Final answer
    x = 1,022.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.