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Finding the Fourth Proportional to 603.11, 832.28 and 416.81

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Solution

The fourth proportional to 603.11, 832.28 and 416.81 is: 575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.11 : 832.28 = 416.81 : x
  2. Step 2: Convert to fraction form
    603.11/832.28 = 416.81/x
  3. Step 3: Cross multiply
    603.11x = 832.28 × 416.81
  4. Step 4: Simplify right side
    603.11x = 346,902.62
  5. Step 5: Solve for x
    x = 346,902.62/603.11
  6. Step 6: Final answer
    x = 575.19

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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.