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Finding the Fourth Proportional to 417.34, 579.92 and 412.84

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Solution

The fourth proportional to 417.34, 579.92 and 412.84 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.34 : 579.92 = 412.84 : x
  2. Step 2: Convert to fraction form
    417.34/579.92 = 412.84/x
  3. Step 3: Cross multiply
    417.34x = 579.92 × 412.84
  4. Step 4: Simplify right side
    417.34x = 239,414.17
  5. Step 5: Solve for x
    x = 239,414.17/417.34
  6. Step 6: Final answer
    x = 573.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.