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Finding the Fourth Proportional to 603.09, 832.19 and 354.35

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Solution

The fourth proportional to 603.09, 832.19 and 354.35 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.09 : 832.19 = 354.35 : x
  2. Step 2: Convert to fraction form
    603.09/832.19 = 354.35/x
  3. Step 3: Cross multiply
    603.09x = 832.19 × 354.35
  4. Step 4: Simplify right side
    603.09x = 294,889.49
  5. Step 5: Solve for x
    x = 294,889.49/603.09
  6. Step 6: Final answer
    x = 488.96

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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.