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Finding the Fourth Proportional to 654.88, 984.48 and 546.88

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Solution

The fourth proportional to 654.88, 984.48 and 546.88 is: 822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 984.48 = 546.88 : x
  2. Step 2: Convert to fraction form
    654.88/984.48 = 546.88/x
  3. Step 3: Cross multiply
    654.88x = 984.48 × 546.88
  4. Step 4: Simplify right side
    654.88x = 538,392.42
  5. Step 5: Solve for x
    x = 538,392.42/654.88
  6. Step 6: Final answer
    x = 822.12

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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.