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Finding the Fourth Proportional to 603.62, 832.97 and 417.32

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Solution

The fourth proportional to 603.62, 832.97 and 417.32 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.62 : 832.97 = 417.32 : x
  2. Step 2: Convert to fraction form
    603.62/832.97 = 417.32/x
  3. Step 3: Cross multiply
    603.62x = 832.97 × 417.32
  4. Step 4: Simplify right side
    603.62x = 347,608.79
  5. Step 5: Solve for x
    x = 347,608.79/603.62
  6. Step 6: Final answer
    x = 575.88

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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.