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Finding the Fourth Proportional to 511.10, 764.30 and 381.19

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Solution

The fourth proportional to 511.10, 764.30 and 381.19 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 764.30 = 381.19 : x
  2. Step 2: Convert to fraction form
    511.10/764.30 = 381.19/x
  3. Step 3: Cross multiply
    511.10x = 764.30 × 381.19
  4. Step 4: Simplify right side
    511.10x = 291,339.70
  5. Step 5: Solve for x
    x = 291,339.70/511.10
  6. Step 6: Final answer
    x = 570.02

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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.