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Finding the Fourth Proportional to 504.92, 696.30 and 379.64

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Solution

The fourth proportional to 504.92, 696.30 and 379.64 is: 523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 696.30 = 379.64 : x
  2. Step 2: Convert to fraction form
    504.92/696.30 = 379.64/x
  3. Step 3: Cross multiply
    504.92x = 696.30 × 379.64
  4. Step 4: Simplify right side
    504.92x = 264,343.33
  5. Step 5: Solve for x
    x = 264,343.33/504.92
  6. Step 6: Final answer
    x = 523.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.