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Finding the Fourth Proportional to 654.68, 985.90 and 546.02

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Solution

The fourth proportional to 654.68, 985.90 and 546.02 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.68 : 985.90 = 546.02 : x
  2. Step 2: Convert to fraction form
    654.68/985.90 = 546.02/x
  3. Step 3: Cross multiply
    654.68x = 985.90 × 546.02
  4. Step 4: Simplify right side
    654.68x = 538,321.12
  5. Step 5: Solve for x
    x = 538,321.12/654.68
  6. Step 6: Final answer
    x = 822.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.