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Finding the Fourth Proportional to 412.17, 617.82 and 275.31

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Solution

The fourth proportional to 412.17, 617.82 and 275.31 is: 412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 617.82 = 275.31 : x
  2. Step 2: Convert to fraction form
    412.17/617.82 = 275.31/x
  3. Step 3: Cross multiply
    412.17x = 617.82 × 275.31
  4. Step 4: Simplify right side
    412.17x = 170,092.02
  5. Step 5: Solve for x
    x = 170,092.02/412.17
  6. Step 6: Final answer
    x = 412.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.