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Finding the Fourth Proportional to 684.80, 1,026.54 and 251.86

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Solution

The fourth proportional to 684.80, 1,026.54 and 251.86 is: 377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 1,026.54 = 251.86 : x
  2. Step 2: Convert to fraction form
    684.80/1,026.54 = 251.86/x
  3. Step 3: Cross multiply
    684.80x = 1,026.54 × 251.86
  4. Step 4: Simplify right side
    684.80x = 258,544.36
  5. Step 5: Solve for x
    x = 258,544.36/684.80
  6. Step 6: Final answer
    x = 377.55

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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.