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Finding the Fourth Proportional to 412.60, 617.64 and 385.96

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Solution

The fourth proportional to 412.60, 617.64 and 385.96 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 617.64 = 385.96 : x
  2. Step 2: Convert to fraction form
    412.60/617.64 = 385.96/x
  3. Step 3: Cross multiply
    412.60x = 617.64 × 385.96
  4. Step 4: Simplify right side
    412.60x = 238,384.33
  5. Step 5: Solve for x
    x = 238,384.33/412.60
  6. Step 6: Final answer
    x = 577.76

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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.