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Finding the Fourth Proportional to 513.02, 768.06 and 390.92

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Solution

The fourth proportional to 513.02, 768.06 and 390.92 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 768.06 = 390.92 : x
  2. Step 2: Convert to fraction form
    513.02/768.06 = 390.92/x
  3. Step 3: Cross multiply
    513.02x = 768.06 × 390.92
  4. Step 4: Simplify right side
    513.02x = 300,250.02
  5. Step 5: Solve for x
    x = 300,250.02/513.02
  6. Step 6: Final answer
    x = 585.26

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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.