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Finding the Fourth Proportional to 905.55, 1,249.49 and 546.64

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Solution

The fourth proportional to 905.55, 1,249.49 and 546.64 is: 754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.55 : 1,249.49 = 546.64 : x
  2. Step 2: Convert to fraction form
    905.55/1,249.49 = 546.64/x
  3. Step 3: Cross multiply
    905.55x = 1,249.49 × 546.64
  4. Step 4: Simplify right side
    905.55x = 683,018.48
  5. Step 5: Solve for x
    x = 683,018.48/905.55
  6. Step 6: Final answer
    x = 754.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.