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Finding the Fourth Proportional to 686.97, 947.48 and 519.48

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Solution

The fourth proportional to 686.97, 947.48 and 519.48 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 947.48 = 519.48 : x
  2. Step 2: Convert to fraction form
    686.97/947.48 = 519.48/x
  3. Step 3: Cross multiply
    686.97x = 947.48 × 519.48
  4. Step 4: Simplify right side
    686.97x = 492,194.31
  5. Step 5: Solve for x
    x = 492,194.31/686.97
  6. Step 6: Final answer
    x = 716.47

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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.