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Finding the Fourth Proportional to 515.88, 772.21 and 281.03

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Solution

The fourth proportional to 515.88, 772.21 and 281.03 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.88 : 772.21 = 281.03 : x
  2. Step 2: Convert to fraction form
    515.88/772.21 = 281.03/x
  3. Step 3: Cross multiply
    515.88x = 772.21 × 281.03
  4. Step 4: Simplify right side
    515.88x = 217,014.18
  5. Step 5: Solve for x
    x = 217,014.18/515.88
  6. Step 6: Final answer
    x = 420.67

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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.