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Finding the Fourth Proportional to 515.72, 771.21 and 384.19

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Solution

The fourth proportional to 515.72, 771.21 and 384.19 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 771.21 = 384.19 : x
  2. Step 2: Convert to fraction form
    515.72/771.21 = 384.19/x
  3. Step 3: Cross multiply
    515.72x = 771.21 × 384.19
  4. Step 4: Simplify right side
    515.72x = 296,289.24
  5. Step 5: Solve for x
    x = 296,289.24/515.72
  6. Step 6: Final answer
    x = 574.51

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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.