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Finding the Fourth Proportional to 603.30, 832.17 and 455.46

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Solution

The fourth proportional to 603.30, 832.17 and 455.46 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.30 : 832.17 = 455.46 : x
  2. Step 2: Convert to fraction form
    603.30/832.17 = 455.46/x
  3. Step 3: Cross multiply
    603.30x = 832.17 × 455.46
  4. Step 4: Simplify right side
    603.30x = 379,020.15
  5. Step 5: Solve for x
    x = 379,020.15/603.30
  6. Step 6: Final answer
    x = 628.24

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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.