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Finding the Fourth Proportional to 551.80, 757.11 and 546.64

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Solution

The fourth proportional to 551.80, 757.11 and 546.64 is: 750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 757.11 = 546.64 : x
  2. Step 2: Convert to fraction form
    551.80/757.11 = 546.64/x
  3. Step 3: Cross multiply
    551.80x = 757.11 × 546.64
  4. Step 4: Simplify right side
    551.80x = 413,860.09
  5. Step 5: Solve for x
    x = 413,860.09/551.80
  6. Step 6: Final answer
    x = 750.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.