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Finding the Fourth Proportional to 454.95, 678.54 and 441.27

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Solution

The fourth proportional to 454.95, 678.54 and 441.27 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.95 : 678.54 = 441.27 : x
  2. Step 2: Convert to fraction form
    454.95/678.54 = 441.27/x
  3. Step 3: Cross multiply
    454.95x = 678.54 × 441.27
  4. Step 4: Simplify right side
    454.95x = 299,419.35
  5. Step 5: Solve for x
    x = 299,419.35/454.95
  6. Step 6: Final answer
    x = 658.14

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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.