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Finding the Fourth Proportional to 520.29, 779.22 and 397.58

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Solution

The fourth proportional to 520.29, 779.22 and 397.58 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 779.22 = 397.58 : x
  2. Step 2: Convert to fraction form
    520.29/779.22 = 397.58/x
  3. Step 3: Cross multiply
    520.29x = 779.22 × 397.58
  4. Step 4: Simplify right side
    520.29x = 309,798.39
  5. Step 5: Solve for x
    x = 309,798.39/520.29
  6. Step 6: Final answer
    x = 595.43

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Double scale
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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.