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Finding the Fourth Proportional to 688.19, 1,031.81 and 255.23

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Solution

The fourth proportional to 688.19, 1,031.81 and 255.23 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.19 : 1,031.81 = 255.23 : x
  2. Step 2: Convert to fraction form
    688.19/1,031.81 = 255.23/x
  3. Step 3: Cross multiply
    688.19x = 1,031.81 × 255.23
  4. Step 4: Simplify right side
    688.19x = 263,347.59
  5. Step 5: Solve for x
    x = 263,347.59/688.19
  6. Step 6: Final answer
    x = 382.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.