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Finding the Fourth Proportional to 461.22, 688.44 and 406.54

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Solution

The fourth proportional to 461.22, 688.44 and 406.54 is: 606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 688.44 = 406.54 : x
  2. Step 2: Convert to fraction form
    461.22/688.44 = 406.54/x
  3. Step 3: Cross multiply
    461.22x = 688.44 × 406.54
  4. Step 4: Simplify right side
    461.22x = 279,876.36
  5. Step 5: Solve for x
    x = 279,876.36/461.22
  6. Step 6: Final answer
    x = 606.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.