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Finding the Fourth Proportional to 513.94, 770.59 and 340.42

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Solution

The fourth proportional to 513.94, 770.59 and 340.42 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 770.59 = 340.42 : x
  2. Step 2: Convert to fraction form
    513.94/770.59 = 340.42/x
  3. Step 3: Cross multiply
    513.94x = 770.59 × 340.42
  4. Step 4: Simplify right side
    513.94x = 262,324.25
  5. Step 5: Solve for x
    x = 262,324.25/513.94
  6. Step 6: Final answer
    x = 510.42

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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.