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Finding the Fourth Proportional to 604.72, 833.42 and 418.21

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Solution

The fourth proportional to 604.72, 833.42 and 418.21 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 833.42 = 418.21 : x
  2. Step 2: Convert to fraction form
    604.72/833.42 = 418.21/x
  3. Step 3: Cross multiply
    604.72x = 833.42 × 418.21
  4. Step 4: Simplify right side
    604.72x = 348,538.32
  5. Step 5: Solve for x
    x = 348,538.32/604.72
  6. Step 6: Final answer
    x = 576.37

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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.