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Finding the Fourth Proportional to 686.19, 946.38 and 423.93

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Solution

The fourth proportional to 686.19, 946.38 and 423.93 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.19 : 946.38 = 423.93 : x
  2. Step 2: Convert to fraction form
    686.19/946.38 = 423.93/x
  3. Step 3: Cross multiply
    686.19x = 946.38 × 423.93
  4. Step 4: Simplify right side
    686.19x = 401,198.87
  5. Step 5: Solve for x
    x = 401,198.87/686.19
  6. Step 6: Final answer
    x = 584.68

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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.