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Finding the Fourth Proportional to 686.81, 946.31 and 465.37

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Solution

The fourth proportional to 686.81, 946.31 and 465.37 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 946.31 = 465.37 : x
  2. Step 2: Convert to fraction form
    686.81/946.31 = 465.37/x
  3. Step 3: Cross multiply
    686.81x = 946.31 × 465.37
  4. Step 4: Simplify right side
    686.81x = 440,383.08
  5. Step 5: Solve for x
    x = 440,383.08/686.81
  6. Step 6: Final answer
    x = 641.21

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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.