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Finding the Fourth Proportional to 603.38, 827.25 and 592.45

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Solution

The fourth proportional to 603.38, 827.25 and 592.45 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.38 : 827.25 = 592.45 : x
  2. Step 2: Convert to fraction form
    603.38/827.25 = 592.45/x
  3. Step 3: Cross multiply
    603.38x = 827.25 × 592.45
  4. Step 4: Simplify right side
    603.38x = 490,099.97
  5. Step 5: Solve for x
    x = 490,099.97/603.38
  6. Step 6: Final answer
    x = 812.25

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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.