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Finding the Fourth Proportional to 520.29, 779.72 and 303.57

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Solution

The fourth proportional to 520.29, 779.72 and 303.57 is: 454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 779.72 = 303.57 : x
  2. Step 2: Convert to fraction form
    520.29/779.72 = 303.57/x
  3. Step 3: Cross multiply
    520.29x = 779.72 × 303.57
  4. Step 4: Simplify right side
    520.29x = 236,698.08
  5. Step 5: Solve for x
    x = 236,698.08/520.29
  6. Step 6: Final answer
    x = 454.93

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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.