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Finding the Fourth Proportional to 460.25, 685.94 and 456.42

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Solution

The fourth proportional to 460.25, 685.94 and 456.42 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 685.94 = 456.42 : x
  2. Step 2: Convert to fraction form
    460.25/685.94 = 456.42/x
  3. Step 3: Cross multiply
    460.25x = 685.94 × 456.42
  4. Step 4: Simplify right side
    460.25x = 313,074.45
  5. Step 5: Solve for x
    x = 313,074.45/460.25
  6. Step 6: Final answer
    x = 680.23

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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.