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Finding the Fourth Proportional to 544.69, 751.67 and 311.81

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Solution

The fourth proportional to 544.69, 751.67 and 311.81 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.69 : 751.67 = 311.81 : x
  2. Step 2: Convert to fraction form
    544.69/751.67 = 311.81/x
  3. Step 3: Cross multiply
    544.69x = 751.67 × 311.81
  4. Step 4: Simplify right side
    544.69x = 234,380.88
  5. Step 5: Solve for x
    x = 234,380.88/544.69
  6. Step 6: Final answer
    x = 430.30

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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.