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Finding the Fourth Proportional to 456.45, 680.67 and 452.36

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Solution

The fourth proportional to 456.45, 680.67 and 452.36 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 680.67 = 452.36 : x
  2. Step 2: Convert to fraction form
    456.45/680.67 = 452.36/x
  3. Step 3: Cross multiply
    456.45x = 680.67 × 452.36
  4. Step 4: Simplify right side
    456.45x = 307,904.48
  5. Step 5: Solve for x
    x = 307,904.48/456.45
  6. Step 6: Final answer
    x = 674.56

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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.