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Finding the Fourth Proportional to 461.09, 634.85 and 407.14

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Solution

The fourth proportional to 461.09, 634.85 and 407.14 is: 560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 634.85 = 407.14 : x
  2. Step 2: Convert to fraction form
    461.09/634.85 = 407.14/x
  3. Step 3: Cross multiply
    461.09x = 634.85 × 407.14
  4. Step 4: Simplify right side
    461.09x = 258,469.21
  5. Step 5: Solve for x
    x = 258,469.21/461.09
  6. Step 6: Final answer
    x = 560.56

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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.