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Finding the Fourth Proportional to 519.77, 716.63 and 379.77

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Solution

The fourth proportional to 519.77, 716.63 and 379.77 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.77 : 716.63 = 379.77 : x
  2. Step 2: Convert to fraction form
    519.77/716.63 = 379.77/x
  3. Step 3: Cross multiply
    519.77x = 716.63 × 379.77
  4. Step 4: Simplify right side
    519.77x = 272,152.68
  5. Step 5: Solve for x
    x = 272,152.68/519.77
  6. Step 6: Final answer
    x = 523.61

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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.