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Finding the Fourth Proportional to 412.83, 568.48 and 353.38

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Solution

The fourth proportional to 412.83, 568.48 and 353.38 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 568.48 = 353.38 : x
  2. Step 2: Convert to fraction form
    412.83/568.48 = 353.38/x
  3. Step 3: Cross multiply
    412.83x = 568.48 × 353.38
  4. Step 4: Simplify right side
    412.83x = 200,889.46
  5. Step 5: Solve for x
    x = 200,889.46/412.83
  6. Step 6: Final answer
    x = 486.62

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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.