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Finding the Fourth Proportional to 516.02, 771.16 and 379.40

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Solution

The fourth proportional to 516.02, 771.16 and 379.40 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 771.16 = 379.40 : x
  2. Step 2: Convert to fraction form
    516.02/771.16 = 379.40/x
  3. Step 3: Cross multiply
    516.02x = 771.16 × 379.40
  4. Step 4: Simplify right side
    516.02x = 292,578.10
  5. Step 5: Solve for x
    x = 292,578.10/516.02
  6. Step 6: Final answer
    x = 566.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.