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Finding the Fourth Proportional to 520.11, 779.90 and 322.65

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Solution

The fourth proportional to 520.11, 779.90 and 322.65 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.11 : 779.90 = 322.65 : x
  2. Step 2: Convert to fraction form
    520.11/779.90 = 322.65/x
  3. Step 3: Cross multiply
    520.11x = 779.90 × 322.65
  4. Step 4: Simplify right side
    520.11x = 251,633.12
  5. Step 5: Solve for x
    x = 251,633.12/520.11
  6. Step 6: Final answer
    x = 483.81

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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.