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Finding the Fourth Proportional to 539.77, 745.07 and 374.20

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Solution

The fourth proportional to 539.77, 745.07 and 374.20 is: 516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.77 : 745.07 = 374.20 : x
  2. Step 2: Convert to fraction form
    539.77/745.07 = 374.20/x
  3. Step 3: Cross multiply
    539.77x = 745.07 × 374.20
  4. Step 4: Simplify right side
    539.77x = 278,805.65
  5. Step 5: Solve for x
    x = 278,805.65/539.77
  6. Step 6: Final answer
    x = 516.53

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1.5x scale

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.