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Finding the Fourth Proportional to 544.29, 750.83 and 378.64

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Solution

The fourth proportional to 544.29, 750.83 and 378.64 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.29 : 750.83 = 378.64 : x
  2. Step 2: Convert to fraction form
    544.29/750.83 = 378.64/x
  3. Step 3: Cross multiply
    544.29x = 750.83 × 378.64
  4. Step 4: Simplify right side
    544.29x = 284,294.27
  5. Step 5: Solve for x
    x = 284,294.27/544.29
  6. Step 6: Final answer
    x = 522.33

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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.