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Finding the Fourth Proportional to 412.43, 568.19 and 287.87

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Solution

The fourth proportional to 412.43, 568.19 and 287.87 is: 396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 568.19 = 287.87 : x
  2. Step 2: Convert to fraction form
    412.43/568.19 = 287.87/x
  3. Step 3: Cross multiply
    412.43x = 568.19 × 287.87
  4. Step 4: Simplify right side
    412.43x = 163,564.86
  5. Step 5: Solve for x
    x = 163,564.86/412.43
  6. Step 6: Final answer
    x = 396.59

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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.