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Finding the Fourth Proportional to 544.47, 751.74 and 419.92

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Solution

The fourth proportional to 544.47, 751.74 and 419.92 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 751.74 = 419.92 : x
  2. Step 2: Convert to fraction form
    544.47/751.74 = 419.92/x
  3. Step 3: Cross multiply
    544.47x = 751.74 × 419.92
  4. Step 4: Simplify right side
    544.47x = 315,670.66
  5. Step 5: Solve for x
    x = 315,670.66/544.47
  6. Step 6: Final answer
    x = 579.78

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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.