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Finding the Fourth Proportional to 544.71, 751.74 and 311.79

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Solution

The fourth proportional to 544.71, 751.74 and 311.79 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.71 : 751.74 = 311.79 : x
  2. Step 2: Convert to fraction form
    544.71/751.74 = 311.79/x
  3. Step 3: Cross multiply
    544.71x = 751.74 × 311.79
  4. Step 4: Simplify right side
    544.71x = 234,385.01
  5. Step 5: Solve for x
    x = 234,385.01/544.71
  6. Step 6: Final answer
    x = 430.29

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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.