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Finding the Fourth Proportional to 511.50, 705.64 and 371.26

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Solution

The fourth proportional to 511.50, 705.64 and 371.26 is: 512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 705.64 = 371.26 : x
  2. Step 2: Convert to fraction form
    511.50/705.64 = 371.26/x
  3. Step 3: Cross multiply
    511.50x = 705.64 × 371.26
  4. Step 4: Simplify right side
    511.50x = 261,975.91
  5. Step 5: Solve for x
    x = 261,975.91/511.50
  6. Step 6: Final answer
    x = 512.17

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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.