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Finding the Fourth Proportional to 412.25, 568.53 and 287.69

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Solution

The fourth proportional to 412.25, 568.53 and 287.69 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 568.53 = 287.69 : x
  2. Step 2: Convert to fraction form
    412.25/568.53 = 287.69/x
  3. Step 3: Cross multiply
    412.25x = 568.53 × 287.69
  4. Step 4: Simplify right side
    412.25x = 163,557.55
  5. Step 5: Solve for x
    x = 163,557.55/412.25
  6. Step 6: Final answer
    x = 396.75

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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.