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Finding the Fourth Proportional to 712.88, 976.64 and 686.96

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Solution

The fourth proportional to 712.88, 976.64 and 686.96 is: 941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 976.64 = 686.96 : x
  2. Step 2: Convert to fraction form
    712.88/976.64 = 686.96/x
  3. Step 3: Cross multiply
    712.88x = 976.64 × 686.96
  4. Step 4: Simplify right side
    712.88x = 670,912.61
  5. Step 5: Solve for x
    x = 670,912.61/712.88
  6. Step 6: Final answer
    x = 941.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.