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Finding the Fourth Proportional to 687.70, 1,031.67 and 225.35

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Solution

The fourth proportional to 687.70, 1,031.67 and 225.35 is: 338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.70 : 1,031.67 = 225.35 : x
  2. Step 2: Convert to fraction form
    687.70/1,031.67 = 225.35/x
  3. Step 3: Cross multiply
    687.70x = 1,031.67 × 225.35
  4. Step 4: Simplify right side
    687.70x = 232,485.54
  5. Step 5: Solve for x
    x = 232,485.54/687.70
  6. Step 6: Final answer
    x = 338.06

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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.