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Finding the Fourth Proportional to 939.93, 1,297.07 and 520.27

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Solution

The fourth proportional to 939.93, 1,297.07 and 520.27 is: 717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.93 : 1,297.07 = 520.27 : x
  2. Step 2: Convert to fraction form
    939.93/1,297.07 = 520.27/x
  3. Step 3: Cross multiply
    939.93x = 1,297.07 × 520.27
  4. Step 4: Simplify right side
    939.93x = 674,820.12
  5. Step 5: Solve for x
    x = 674,820.12/939.93
  6. Step 6: Final answer
    x = 717.95

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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.