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Finding the Fourth Proportional to 546.40, 817.78 and 455.28

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Solution

The fourth proportional to 546.40, 817.78 and 455.28 is: 681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 817.78 = 455.28 : x
  2. Step 2: Convert to fraction form
    546.40/817.78 = 455.28/x
  3. Step 3: Cross multiply
    546.40x = 817.78 × 455.28
  4. Step 4: Simplify right side
    546.40x = 372,318.88
  5. Step 5: Solve for x
    x = 372,318.88/546.40
  6. Step 6: Final answer
    x = 681.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.