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Finding the Fourth Proportional to 544.73, 751.78 and 345.77

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Solution

The fourth proportional to 544.73, 751.78 and 345.77 is: 477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.73 : 751.78 = 345.77 : x
  2. Step 2: Convert to fraction form
    544.73/751.78 = 345.77/x
  3. Step 3: Cross multiply
    544.73x = 751.78 × 345.77
  4. Step 4: Simplify right side
    544.73x = 259,942.46
  5. Step 5: Solve for x
    x = 259,942.46/544.73
  6. Step 6: Final answer
    x = 477.20

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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.