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Finding the Fourth Proportional to 686.26, 946.38 and 520.48

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Solution

The fourth proportional to 686.26, 946.38 and 520.48 is: 717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 946.38 = 520.48 : x
  2. Step 2: Convert to fraction form
    686.26/946.38 = 520.48/x
  3. Step 3: Cross multiply
    686.26x = 946.38 × 520.48
  4. Step 4: Simplify right side
    686.26x = 492,571.86
  5. Step 5: Solve for x
    x = 492,571.86/686.26
  6. Step 6: Final answer
    x = 717.76

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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.