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Finding the Fourth Proportional to 604.10, 833.31 and 355.23

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Solution

The fourth proportional to 604.10, 833.31 and 355.23 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.10 : 833.31 = 355.23 : x
  2. Step 2: Convert to fraction form
    604.10/833.31 = 355.23/x
  3. Step 3: Cross multiply
    604.10x = 833.31 × 355.23
  4. Step 4: Simplify right side
    604.10x = 296,016.71
  5. Step 5: Solve for x
    x = 296,016.71/604.10
  6. Step 6: Final answer
    x = 490.01

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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.