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Finding the Fourth Proportional to 604.47, 902.32 and 559.38

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Solution

The fourth proportional to 604.47, 902.32 and 559.38 is: 835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.47 : 902.32 = 559.38 : x
  2. Step 2: Convert to fraction form
    604.47/902.32 = 559.38/x
  3. Step 3: Cross multiply
    604.47x = 902.32 × 559.38
  4. Step 4: Simplify right side
    604.47x = 504,738.36
  5. Step 5: Solve for x
    x = 504,738.36/604.47
  6. Step 6: Final answer
    x = 835.01

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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.