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Finding the Fourth Proportional to 520.41, 782.24 and 376.77

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Solution

The fourth proportional to 520.41, 782.24 and 376.77 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.41 : 782.24 = 376.77 : x
  2. Step 2: Convert to fraction form
    520.41/782.24 = 376.77/x
  3. Step 3: Cross multiply
    520.41x = 782.24 × 376.77
  4. Step 4: Simplify right side
    520.41x = 294,722.68
  5. Step 5: Solve for x
    x = 294,722.68/520.41
  6. Step 6: Final answer
    x = 566.33

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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.