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Finding the Fourth Proportional to 412.35, 568.33 and 377.47

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Solution

The fourth proportional to 412.35, 568.33 and 377.47 is: 520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 568.33 = 377.47 : x
  2. Step 2: Convert to fraction form
    412.35/568.33 = 377.47/x
  3. Step 3: Cross multiply
    412.35x = 568.33 × 377.47
  4. Step 4: Simplify right side
    412.35x = 214,527.53
  5. Step 5: Solve for x
    x = 214,527.53/412.35
  6. Step 6: Final answer
    x = 520.26

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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.