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Finding the Fourth Proportional to 686.19, 946.86 and 406.41

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Solution

The fourth proportional to 686.19, 946.86 and 406.41 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.19 : 946.86 = 406.41 : x
  2. Step 2: Convert to fraction form
    686.19/946.86 = 406.41/x
  3. Step 3: Cross multiply
    686.19x = 946.86 × 406.41
  4. Step 4: Simplify right side
    686.19x = 384,813.37
  5. Step 5: Solve for x
    x = 384,813.37/686.19
  6. Step 6: Final answer
    x = 560.80

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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.