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Finding the Fourth Proportional to 544.02, 751.11 and 419.46

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Solution

The fourth proportional to 544.02, 751.11 and 419.46 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.02 : 751.11 = 419.46 : x
  2. Step 2: Convert to fraction form
    544.02/751.11 = 419.46/x
  3. Step 3: Cross multiply
    544.02x = 751.11 × 419.46
  4. Step 4: Simplify right side
    544.02x = 315,060.60
  5. Step 5: Solve for x
    x = 315,060.60/544.02
  6. Step 6: Final answer
    x = 579.13

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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.