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Finding the Fourth Proportional to 604.10, 833.40 and 382.94

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Solution

The fourth proportional to 604.10, 833.40 and 382.94 is: 528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.10 : 833.40 = 382.94 : x
  2. Step 2: Convert to fraction form
    604.10/833.40 = 382.94/x
  3. Step 3: Cross multiply
    604.10x = 833.40 × 382.94
  4. Step 4: Simplify right side
    604.10x = 319,142.20
  5. Step 5: Solve for x
    x = 319,142.20/604.10
  6. Step 6: Final answer
    x = 528.29

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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.