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Finding the Fourth Proportional to 461.07, 634.97 and 405.79

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Solution

The fourth proportional to 461.07, 634.97 and 405.79 is: 558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 634.97 = 405.79 : x
  2. Step 2: Convert to fraction form
    461.07/634.97 = 405.79/x
  3. Step 3: Cross multiply
    461.07x = 634.97 × 405.79
  4. Step 4: Simplify right side
    461.07x = 257,663.90
  5. Step 5: Solve for x
    x = 257,663.90/461.07
  6. Step 6: Final answer
    x = 558.84

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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.