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Finding the Fourth Proportional to 520.59, 779.83 and 300.58

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Solution

The fourth proportional to 520.59, 779.83 and 300.58 is: 450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 779.83 = 300.58 : x
  2. Step 2: Convert to fraction form
    520.59/779.83 = 300.58/x
  3. Step 3: Cross multiply
    520.59x = 779.83 × 300.58
  4. Step 4: Simplify right side
    520.59x = 234,398.60
  5. Step 5: Solve for x
    x = 234,398.60/520.59
  6. Step 6: Final answer
    x = 450.25

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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.