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Finding the Fourth Proportional to 604.24, 904.78 and 329.76

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Solution

The fourth proportional to 604.24, 904.78 and 329.76 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 904.78 = 329.76 : x
  2. Step 2: Convert to fraction form
    604.24/904.78 = 329.76/x
  3. Step 3: Cross multiply
    604.24x = 904.78 × 329.76
  4. Step 4: Simplify right side
    604.24x = 298,357.89
  5. Step 5: Solve for x
    x = 298,357.89/604.24
  6. Step 6: Final answer
    x = 493.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.