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Finding the Fourth Proportional to 604.38, 902.24 and 577.80

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Solution

The fourth proportional to 604.38, 902.24 and 577.80 is: 862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.38 : 902.24 = 577.80 : x
  2. Step 2: Convert to fraction form
    604.38/902.24 = 577.80/x
  3. Step 3: Cross multiply
    604.38x = 902.24 × 577.80
  4. Step 4: Simplify right side
    604.38x = 521,314.27
  5. Step 5: Solve for x
    x = 521,314.27/604.38
  6. Step 6: Final answer
    x = 862.56

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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.