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Finding the Fourth Proportional to 694.84, 1,042.23 and 283.86

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Solution

The fourth proportional to 694.84, 1,042.23 and 283.86 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.84 : 1,042.23 = 283.86 : x
  2. Step 2: Convert to fraction form
    694.84/1,042.23 = 283.86/x
  3. Step 3: Cross multiply
    694.84x = 1,042.23 × 283.86
  4. Step 4: Simplify right side
    694.84x = 295,847.41
  5. Step 5: Solve for x
    x = 295,847.41/694.84
  6. Step 6: Final answer
    x = 425.78

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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.