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Finding the Fourth Proportional to 468.09, 697.73 and 460.80

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Solution

The fourth proportional to 468.09, 697.73 and 460.80 is: 686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.09 : 697.73 = 460.80 : x
  2. Step 2: Convert to fraction form
    468.09/697.73 = 460.80/x
  3. Step 3: Cross multiply
    468.09x = 697.73 × 460.80
  4. Step 4: Simplify right side
    468.09x = 321,511.68
  5. Step 5: Solve for x
    x = 321,511.68/468.09
  6. Step 6: Final answer
    x = 686.86

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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.