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Finding the Fourth Proportional to 686.37, 946.92 and 437.65

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Solution

The fourth proportional to 686.37, 946.92 and 437.65 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.37 : 946.92 = 437.65 : x
  2. Step 2: Convert to fraction form
    686.37/946.92 = 437.65/x
  3. Step 3: Cross multiply
    686.37x = 946.92 × 437.65
  4. Step 4: Simplify right side
    686.37x = 414,419.54
  5. Step 5: Solve for x
    x = 414,419.54/686.37
  6. Step 6: Final answer
    x = 603.78

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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.