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Finding the Fourth Proportional to 686.22, 946.83 and 406.35

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Solution

The fourth proportional to 686.22, 946.83 and 406.35 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.22 : 946.83 = 406.35 : x
  2. Step 2: Convert to fraction form
    686.22/946.83 = 406.35/x
  3. Step 3: Cross multiply
    686.22x = 946.83 × 406.35
  4. Step 4: Simplify right side
    686.22x = 384,745.89
  5. Step 5: Solve for x
    x = 384,745.89/686.22
  6. Step 6: Final answer
    x = 560.68

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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.