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Finding the Fourth Proportional to 604.07, 902.37 and 429.36

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Solution

The fourth proportional to 604.07, 902.37 and 429.36 is: 641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.07 : 902.37 = 429.36 : x
  2. Step 2: Convert to fraction form
    604.07/902.37 = 429.36/x
  3. Step 3: Cross multiply
    604.07x = 902.37 × 429.36
  4. Step 4: Simplify right side
    604.07x = 387,441.58
  5. Step 5: Solve for x
    x = 387,441.58/604.07
  6. Step 6: Final answer
    x = 641.39

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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.