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Finding the Fourth Proportional to 694.50, 1,040.84 and 283.15

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Solution

The fourth proportional to 694.50, 1,040.84 and 283.15 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.50 : 1,040.84 = 283.15 : x
  2. Step 2: Convert to fraction form
    694.50/1,040.84 = 283.15/x
  3. Step 3: Cross multiply
    694.50x = 1,040.84 × 283.15
  4. Step 4: Simplify right side
    694.50x = 294,713.85
  5. Step 5: Solve for x
    x = 294,713.85/694.50
  6. Step 6: Final answer
    x = 424.35

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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.