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Finding the Fourth Proportional to 412.35, 568.45 and 313.94

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Solution

The fourth proportional to 412.35, 568.45 and 313.94 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 568.45 = 313.94 : x
  2. Step 2: Convert to fraction form
    412.35/568.45 = 313.94/x
  3. Step 3: Cross multiply
    412.35x = 568.45 × 313.94
  4. Step 4: Simplify right side
    412.35x = 178,454.78
  5. Step 5: Solve for x
    x = 178,454.78/412.35
  6. Step 6: Final answer
    x = 432.78

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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.