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Finding the Fourth Proportional to 513.79, 770.40 and 351.67

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Solution

The fourth proportional to 513.79, 770.40 and 351.67 is: 527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 770.40 = 351.67 : x
  2. Step 2: Convert to fraction form
    513.79/770.40 = 351.67/x
  3. Step 3: Cross multiply
    513.79x = 770.40 × 351.67
  4. Step 4: Simplify right side
    513.79x = 270,926.57
  5. Step 5: Solve for x
    x = 270,926.57/513.79
  6. Step 6: Final answer
    x = 527.31

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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.