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Finding the Fourth Proportional to 940.27, 1,297.50 and 520.63

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Solution

The fourth proportional to 940.27, 1,297.50 and 520.63 is: 718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.27 : 1,297.50 = 520.63 : x
  2. Step 2: Convert to fraction form
    940.27/1,297.50 = 520.63/x
  3. Step 3: Cross multiply
    940.27x = 1,297.50 × 520.63
  4. Step 4: Simplify right side
    940.27x = 675,517.43
  5. Step 5: Solve for x
    x = 675,517.43/940.27
  6. Step 6: Final answer
    x = 718.43

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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.