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Finding the Fourth Proportional to 412.53, 568.62 and 292.94

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Solution

The fourth proportional to 412.53, 568.62 and 292.94 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 568.62 = 292.94 : x
  2. Step 2: Convert to fraction form
    412.53/568.62 = 292.94/x
  3. Step 3: Cross multiply
    412.53x = 568.62 × 292.94
  4. Step 4: Simplify right side
    412.53x = 166,568.70
  5. Step 5: Solve for x
    x = 166,568.70/412.53
  6. Step 6: Final answer
    x = 403.77

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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.