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Finding the Fourth Proportional to 686.14, 946.27 and 475.94

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Solution

The fourth proportional to 686.14, 946.27 and 475.94 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.14 : 946.27 = 475.94 : x
  2. Step 2: Convert to fraction form
    686.14/946.27 = 475.94/x
  3. Step 3: Cross multiply
    686.14x = 946.27 × 475.94
  4. Step 4: Simplify right side
    686.14x = 450,367.74
  5. Step 5: Solve for x
    x = 450,367.74/686.14
  6. Step 6: Final answer
    x = 656.38

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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.