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Finding the Fourth Proportional to 513.79, 770.61 and 427.66

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Solution

The fourth proportional to 513.79, 770.61 and 427.66 is: 641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 770.61 = 427.66 : x
  2. Step 2: Convert to fraction form
    513.79/770.61 = 427.66/x
  3. Step 3: Cross multiply
    513.79x = 770.61 × 427.66
  4. Step 4: Simplify right side
    513.79x = 329,559.07
  5. Step 5: Solve for x
    x = 329,559.07/513.79
  6. Step 6: Final answer
    x = 641.43

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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.