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Finding the Fourth Proportional to 454.28, 678.61 and 381.40

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Solution

The fourth proportional to 454.28, 678.61 and 381.40 is: 569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.28 : 678.61 = 381.40 : x
  2. Step 2: Convert to fraction form
    454.28/678.61 = 381.40/x
  3. Step 3: Cross multiply
    454.28x = 678.61 × 381.40
  4. Step 4: Simplify right side
    454.28x = 258,821.85
  5. Step 5: Solve for x
    x = 258,821.85/454.28
  6. Step 6: Final answer
    x = 569.74

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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.