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Finding the Fourth Proportional to 539.70, 745.12 and 427.38

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Solution

The fourth proportional to 539.70, 745.12 and 427.38 is: 590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 745.12 = 427.38 : x
  2. Step 2: Convert to fraction form
    539.70/745.12 = 427.38/x
  3. Step 3: Cross multiply
    539.70x = 745.12 × 427.38
  4. Step 4: Simplify right side
    539.70x = 318,449.39
  5. Step 5: Solve for x
    x = 318,449.39/539.70
  6. Step 6: Final answer
    x = 590.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.