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Finding the Fourth Proportional to 519.13, 715.41 and 371.51

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Solution

The fourth proportional to 519.13, 715.41 and 371.51 is: 511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.13 : 715.41 = 371.51 : x
  2. Step 2: Convert to fraction form
    519.13/715.41 = 371.51/x
  3. Step 3: Cross multiply
    519.13x = 715.41 × 371.51
  4. Step 4: Simplify right side
    519.13x = 265,778.39
  5. Step 5: Solve for x
    x = 265,778.39/519.13
  6. Step 6: Final answer
    x = 511.97

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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.