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Finding the Fourth Proportional to 452.76, 682.77 and 425.88

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Solution

The fourth proportional to 452.76, 682.77 and 425.88 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.76 : 682.77 = 425.88 : x
  2. Step 2: Convert to fraction form
    452.76/682.77 = 425.88/x
  3. Step 3: Cross multiply
    452.76x = 682.77 × 425.88
  4. Step 4: Simplify right side
    452.76x = 290,778.09
  5. Step 5: Solve for x
    x = 290,778.09/452.76
  6. Step 6: Final answer
    x = 642.23

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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.