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Finding the Fourth Proportional to 456.30, 678.97 and 454.76

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Solution

The fourth proportional to 456.30, 678.97 and 454.76 is: 676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 678.97 = 454.76 : x
  2. Step 2: Convert to fraction form
    456.30/678.97 = 454.76/x
  3. Step 3: Cross multiply
    456.30x = 678.97 × 454.76
  4. Step 4: Simplify right side
    456.30x = 308,766.84
  5. Step 5: Solve for x
    x = 308,766.84/456.30
  6. Step 6: Final answer
    x = 676.68

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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.