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Finding the Fourth Proportional to 686.37, 946.20 and 453.09

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Solution

The fourth proportional to 686.37, 946.20 and 453.09 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.37 : 946.20 = 453.09 : x
  2. Step 2: Convert to fraction form
    686.37/946.20 = 453.09/x
  3. Step 3: Cross multiply
    686.37x = 946.20 × 453.09
  4. Step 4: Simplify right side
    686.37x = 428,713.76
  5. Step 5: Solve for x
    x = 428,713.76/686.37
  6. Step 6: Final answer
    x = 624.61

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1.5x scale

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.