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Finding the Fourth Proportional to 517.28, 712.56 and 386.06

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Solution

The fourth proportional to 517.28, 712.56 and 386.06 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.28 : 712.56 = 386.06 : x
  2. Step 2: Convert to fraction form
    517.28/712.56 = 386.06/x
  3. Step 3: Cross multiply
    517.28x = 712.56 × 386.06
  4. Step 4: Simplify right side
    517.28x = 275,090.91
  5. Step 5: Solve for x
    x = 275,090.91/517.28
  6. Step 6: Final answer
    x = 531.80

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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.