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Finding the Fourth Proportional to 696.73, 1,044.47 and 257.68

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Solution

The fourth proportional to 696.73, 1,044.47 and 257.68 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.73 : 1,044.47 = 257.68 : x
  2. Step 2: Convert to fraction form
    696.73/1,044.47 = 257.68/x
  3. Step 3: Cross multiply
    696.73x = 1,044.47 × 257.68
  4. Step 4: Simplify right side
    696.73x = 269,140.25
  5. Step 5: Solve for x
    x = 269,140.25/696.73
  6. Step 6: Final answer
    x = 386.29

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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.