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Finding the Fourth Proportional to 544.36, 750.71 and 419.82

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Solution

The fourth proportional to 544.36, 750.71 and 419.82 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.36 : 750.71 = 419.82 : x
  2. Step 2: Convert to fraction form
    544.36/750.71 = 419.82/x
  3. Step 3: Cross multiply
    544.36x = 750.71 × 419.82
  4. Step 4: Simplify right side
    544.36x = 315,163.17
  5. Step 5: Solve for x
    x = 315,163.17/544.36
  6. Step 6: Final answer
    x = 578.96

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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.