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Finding the Fourth Proportional to 686.33, 947.26 and 437.73

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Solution

The fourth proportional to 686.33, 947.26 and 437.73 is: 604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.33 : 947.26 = 437.73 : x
  2. Step 2: Convert to fraction form
    686.33/947.26 = 437.73/x
  3. Step 3: Cross multiply
    686.33x = 947.26 × 437.73
  4. Step 4: Simplify right side
    686.33x = 414,644.12
  5. Step 5: Solve for x
    x = 414,644.12/686.33
  6. Step 6: Final answer
    x = 604.15

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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.