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Finding the Fourth Proportional to 513.03, 768.35 and 375.74

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Solution

The fourth proportional to 513.03, 768.35 and 375.74 is: 562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.03 : 768.35 = 375.74 : x
  2. Step 2: Convert to fraction form
    513.03/768.35 = 375.74/x
  3. Step 3: Cross multiply
    513.03x = 768.35 × 375.74
  4. Step 4: Simplify right side
    513.03x = 288,694.11
  5. Step 5: Solve for x
    x = 288,694.11/513.03
  6. Step 6: Final answer
    x = 562.72

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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.