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Finding the Fourth Proportional to 604.49, 833.50 and 493.63

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Solution

The fourth proportional to 604.49, 833.50 and 493.63 is: 680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 833.50 = 493.63 : x
  2. Step 2: Convert to fraction form
    604.49/833.50 = 493.63/x
  3. Step 3: Cross multiply
    604.49x = 833.50 × 493.63
  4. Step 4: Simplify right side
    604.49x = 411,440.61
  5. Step 5: Solve for x
    x = 411,440.61/604.49
  6. Step 6: Final answer
    x = 680.64

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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.