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Finding the Fourth Proportional to 519.39, 715.78 and 371.77

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Solution

The fourth proportional to 519.39, 715.78 and 371.77 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.39 : 715.78 = 371.77 : x
  2. Step 2: Convert to fraction form
    519.39/715.78 = 371.77/x
  3. Step 3: Cross multiply
    519.39x = 715.78 × 371.77
  4. Step 4: Simplify right side
    519.39x = 266,105.53
  5. Step 5: Solve for x
    x = 266,105.53/519.39
  6. Step 6: Final answer
    x = 512.34

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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.