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Finding the Fourth Proportional to 684.33, 1,026.63 and 251.48

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Solution

The fourth proportional to 684.33, 1,026.63 and 251.48 is: 377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.33 : 1,026.63 = 251.48 : x
  2. Step 2: Convert to fraction form
    684.33/1,026.63 = 251.48/x
  3. Step 3: Cross multiply
    684.33x = 1,026.63 × 251.48
  4. Step 4: Simplify right side
    684.33x = 258,176.91
  5. Step 5: Solve for x
    x = 258,176.91/684.33
  6. Step 6: Final answer
    x = 377.27

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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.