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Finding the Fourth Proportional to 604.27, 832.93 and 493.55

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Solution

The fourth proportional to 604.27, 832.93 and 493.55 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.27 : 832.93 = 493.55 : x
  2. Step 2: Convert to fraction form
    604.27/832.93 = 493.55/x
  3. Step 3: Cross multiply
    604.27x = 832.93 × 493.55
  4. Step 4: Simplify right side
    604.27x = 411,092.60
  5. Step 5: Solve for x
    x = 411,092.60/604.27
  6. Step 6: Final answer
    x = 680.31

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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.