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Finding the Fourth Proportional to 604.92, 902.94 and 553.62

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Solution

The fourth proportional to 604.92, 902.94 and 553.62 is: 826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 902.94 = 553.62 : x
  2. Step 2: Convert to fraction form
    604.92/902.94 = 553.62/x
  3. Step 3: Cross multiply
    604.92x = 902.94 × 553.62
  4. Step 4: Simplify right side
    604.92x = 499,885.64
  5. Step 5: Solve for x
    x = 499,885.64/604.92
  6. Step 6: Final answer
    x = 826.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.