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Finding the Fourth Proportional to 512.33, 707.20 and 388.26

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Solution

The fourth proportional to 512.33, 707.20 and 388.26 is: 535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 707.20 = 388.26 : x
  2. Step 2: Convert to fraction form
    512.33/707.20 = 388.26/x
  3. Step 3: Cross multiply
    512.33x = 707.20 × 388.26
  4. Step 4: Simplify right side
    512.33x = 274,576.50
  5. Step 5: Solve for x
    x = 274,576.50/512.33
  6. Step 6: Final answer
    x = 535.94

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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.