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Finding the Fourth Proportional to 686.96, 948 and 376.46

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Solution

The fourth proportional to 686.96, 948 and 376.46 is: 519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.96 : 948 = 376.46 : x
  2. Step 2: Convert to fraction form
    686.96/948 = 376.46/x
  3. Step 3: Cross multiply
    686.96x = 948 × 376.46
  4. Step 4: Simplify right side
    686.96x = 356,884.08
  5. Step 5: Solve for x
    x = 356,884.08/686.96
  6. Step 6: Final answer
    x = 519.51

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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.