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Finding the Fourth Proportional to 461.27, 687.95 and 419.96

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Solution

The fourth proportional to 461.27, 687.95 and 419.96 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.27 : 687.95 = 419.96 : x
  2. Step 2: Convert to fraction form
    461.27/687.95 = 419.96/x
  3. Step 3: Cross multiply
    461.27x = 687.95 × 419.96
  4. Step 4: Simplify right side
    461.27x = 288,905.94
  5. Step 5: Solve for x
    x = 288,905.94/461.27
  6. Step 6: Final answer
    x = 626.33

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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.