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Finding the Fourth Proportional to 646.61, 892.32 and 351.88

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Solution

The fourth proportional to 646.61, 892.32 and 351.88 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 892.32 = 351.88 : x
  2. Step 2: Convert to fraction form
    646.61/892.32 = 351.88/x
  3. Step 3: Cross multiply
    646.61x = 892.32 × 351.88
  4. Step 4: Simplify right side
    646.61x = 313,989.56
  5. Step 5: Solve for x
    x = 313,989.56/646.61
  6. Step 6: Final answer
    x = 485.59

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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.