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Finding the Fourth Proportional to 544.57, 750.19 and 378.49

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Solution

The fourth proportional to 544.57, 750.19 and 378.49 is: 521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.57 : 750.19 = 378.49 : x
  2. Step 2: Convert to fraction form
    544.57/750.19 = 378.49/x
  3. Step 3: Cross multiply
    544.57x = 750.19 × 378.49
  4. Step 4: Simplify right side
    544.57x = 283,939.41
  5. Step 5: Solve for x
    x = 283,939.41/544.57
  6. Step 6: Final answer
    x = 521.40

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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.