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Finding the Fourth Proportional to 609.68, 915.34 and 518.96

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Solution

The fourth proportional to 609.68, 915.34 and 518.96 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.68 : 915.34 = 518.96 : x
  2. Step 2: Convert to fraction form
    609.68/915.34 = 518.96/x
  3. Step 3: Cross multiply
    609.68x = 915.34 × 518.96
  4. Step 4: Simplify right side
    609.68x = 475,024.85
  5. Step 5: Solve for x
    x = 475,024.85/609.68
  6. Step 6: Final answer
    x = 779.14

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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.