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Finding the Fourth Proportional to 461.41, 688.73 and 406.73

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Solution

The fourth proportional to 461.41, 688.73 and 406.73 is: 607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.41 : 688.73 = 406.73 : x
  2. Step 2: Convert to fraction form
    461.41/688.73 = 406.73/x
  3. Step 3: Cross multiply
    461.41x = 688.73 × 406.73
  4. Step 4: Simplify right side
    461.41x = 280,127.15
  5. Step 5: Solve for x
    x = 280,127.15/461.41
  6. Step 6: Final answer
    x = 607.11

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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.