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Finding the Fourth Proportional to 520.81, 779.99 and 412.67

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Solution

The fourth proportional to 520.81, 779.99 and 412.67 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.81 : 779.99 = 412.67 : x
  2. Step 2: Convert to fraction form
    520.81/779.99 = 412.67/x
  3. Step 3: Cross multiply
    520.81x = 779.99 × 412.67
  4. Step 4: Simplify right side
    520.81x = 321,878.47
  5. Step 5: Solve for x
    x = 321,878.47/520.81
  6. Step 6: Final answer
    x = 618.03

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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.