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Finding the Fourth Proportional to 460.41, 685.53 and 457.17

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Solution

The fourth proportional to 460.41, 685.53 and 457.17 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 685.53 = 457.17 : x
  2. Step 2: Convert to fraction form
    460.41/685.53 = 457.17/x
  3. Step 3: Cross multiply
    460.41x = 685.53 × 457.17
  4. Step 4: Simplify right side
    460.41x = 313,403.75
  5. Step 5: Solve for x
    x = 313,403.75/460.41
  6. Step 6: Final answer
    x = 680.71

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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.