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Finding the Fourth Proportional to 518.71, 716.55 and 371.08

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Solution

The fourth proportional to 518.71, 716.55 and 371.08 is: 512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.71 : 716.55 = 371.08 : x
  2. Step 2: Convert to fraction form
    518.71/716.55 = 371.08/x
  3. Step 3: Cross multiply
    518.71x = 716.55 × 371.08
  4. Step 4: Simplify right side
    518.71x = 265,897.37
  5. Step 5: Solve for x
    x = 265,897.37/518.71
  6. Step 6: Final answer
    x = 512.61

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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.