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Finding the Fourth Proportional to 512.75, 707.28 and 388.89

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Solution

The fourth proportional to 512.75, 707.28 and 388.89 is: 536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 707.28 = 388.89 : x
  2. Step 2: Convert to fraction form
    512.75/707.28 = 388.89/x
  3. Step 3: Cross multiply
    512.75x = 707.28 × 388.89
  4. Step 4: Simplify right side
    512.75x = 275,054.12
  5. Step 5: Solve for x
    x = 275,054.12/512.75
  6. Step 6: Final answer
    x = 536.43

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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.