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Finding the Fourth Proportional to 478.26, 721.74 and 461.97

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Solution

The fourth proportional to 478.26, 721.74 and 461.97 is: 697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 721.74 = 461.97 : x
  2. Step 2: Convert to fraction form
    478.26/721.74 = 461.97/x
  3. Step 3: Cross multiply
    478.26x = 721.74 × 461.97
  4. Step 4: Simplify right side
    478.26x = 333,422.23
  5. Step 5: Solve for x
    x = 333,422.23/478.26
  6. Step 6: Final answer
    x = 697.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.