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Finding the Fourth Proportional to 603.15, 832.05 and 354.31

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Solution

The fourth proportional to 603.15, 832.05 and 354.31 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 832.05 = 354.31 : x
  2. Step 2: Convert to fraction form
    603.15/832.05 = 354.31/x
  3. Step 3: Cross multiply
    603.15x = 832.05 × 354.31
  4. Step 4: Simplify right side
    603.15x = 294,801.56
  5. Step 5: Solve for x
    x = 294,801.56/603.15
  6. Step 6: Final answer
    x = 488.77

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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.