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Finding the Fourth Proportional to 544.23, 750.74 and 378.45

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Solution

The fourth proportional to 544.23, 750.74 and 378.45 is: 522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.23 : 750.74 = 378.45 : x
  2. Step 2: Convert to fraction form
    544.23/750.74 = 378.45/x
  3. Step 3: Cross multiply
    544.23x = 750.74 × 378.45
  4. Step 4: Simplify right side
    544.23x = 284,115.66
  5. Step 5: Solve for x
    x = 284,115.66/544.23
  6. Step 6: Final answer
    x = 522.05

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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.