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Finding the Fourth Proportional to 603.19, 832.40 and 327.19

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Solution

The fourth proportional to 603.19, 832.40 and 327.19 is: 451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.19 : 832.40 = 327.19 : x
  2. Step 2: Convert to fraction form
    603.19/832.40 = 327.19/x
  3. Step 3: Cross multiply
    603.19x = 832.40 × 327.19
  4. Step 4: Simplify right side
    603.19x = 272,350.47
  5. Step 5: Solve for x
    x = 272,350.47/603.19
  6. Step 6: Final answer
    x = 451.52

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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.