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Finding the Fourth Proportional to 603.09, 827.73 and 547.74

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Solution

The fourth proportional to 603.09, 827.73 and 547.74 is: 751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.09 : 827.73 = 547.74 : x
  2. Step 2: Convert to fraction form
    603.09/827.73 = 547.74/x
  3. Step 3: Cross multiply
    603.09x = 827.73 × 547.74
  4. Step 4: Simplify right side
    603.09x = 453,380.83
  5. Step 5: Solve for x
    x = 453,380.83/603.09
  6. Step 6: Final answer
    x = 751.76

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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.