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Finding the Fourth Proportional to 520.27, 779.49 and 463.77

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Solution

The fourth proportional to 520.27, 779.49 and 463.77 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.27 : 779.49 = 463.77 : x
  2. Step 2: Convert to fraction form
    520.27/779.49 = 463.77/x
  3. Step 3: Cross multiply
    520.27x = 779.49 × 463.77
  4. Step 4: Simplify right side
    520.27x = 361,504.08
  5. Step 5: Solve for x
    x = 361,504.08/520.27
  6. Step 6: Final answer
    x = 694.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.