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Finding the Fourth Proportional to 513.15, 769.05 and 348.54

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Solution

The fourth proportional to 513.15, 769.05 and 348.54 is: 522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 769.05 = 348.54 : x
  2. Step 2: Convert to fraction form
    513.15/769.05 = 348.54/x
  3. Step 3: Cross multiply
    513.15x = 769.05 × 348.54
  4. Step 4: Simplify right side
    513.15x = 268,044.69
  5. Step 5: Solve for x
    x = 268,044.69/513.15
  6. Step 6: Final answer
    x = 522.35

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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.