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Finding the Fourth Proportional to 496.94, 685.26 and 457.25

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Solution

The fourth proportional to 496.94, 685.26 and 457.25 is: 630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.94 : 685.26 = 457.25 : x
  2. Step 2: Convert to fraction form
    496.94/685.26 = 457.25/x
  3. Step 3: Cross multiply
    496.94x = 685.26 × 457.25
  4. Step 4: Simplify right side
    496.94x = 313,331.71
  5. Step 5: Solve for x
    x = 313,331.71/496.94
  6. Step 6: Final answer
    x = 630.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.