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Finding the Fourth Proportional to 514.07, 708.73 and 379.41

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Solution

The fourth proportional to 514.07, 708.73 and 379.41 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.07 : 708.73 = 379.41 : x
  2. Step 2: Convert to fraction form
    514.07/708.73 = 379.41/x
  3. Step 3: Cross multiply
    514.07x = 708.73 × 379.41
  4. Step 4: Simplify right side
    514.07x = 268,899.25
  5. Step 5: Solve for x
    x = 268,899.25/514.07
  6. Step 6: Final answer
    x = 523.08

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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.