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Finding the Fourth Proportional to 603.50, 832.87 and 341.53

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Solution

The fourth proportional to 603.50, 832.87 and 341.53 is: 471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.50 : 832.87 = 341.53 : x
  2. Step 2: Convert to fraction form
    603.50/832.87 = 341.53/x
  3. Step 3: Cross multiply
    603.50x = 832.87 × 341.53
  4. Step 4: Simplify right side
    603.50x = 284,450.09
  5. Step 5: Solve for x
    x = 284,450.09/603.50
  6. Step 6: Final answer
    x = 471.33

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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.