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Finding the Fourth Proportional to 437.85, 604.29 and 423.43

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Solution

The fourth proportional to 437.85, 604.29 and 423.43 is: 584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 604.29 = 423.43 : x
  2. Step 2: Convert to fraction form
    437.85/604.29 = 423.43/x
  3. Step 3: Cross multiply
    437.85x = 604.29 × 423.43
  4. Step 4: Simplify right side
    437.85x = 255,874.51
  5. Step 5: Solve for x
    x = 255,874.51/437.85
  6. Step 6: Final answer
    x = 584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.