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Finding the Fourth Proportional to 940.05, 1,297.17 and 520.32

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Solution

The fourth proportional to 940.05, 1,297.17 and 520.32 is: 717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.05 : 1,297.17 = 520.32 : x
  2. Step 2: Convert to fraction form
    940.05/1,297.17 = 520.32/x
  3. Step 3: Cross multiply
    940.05x = 1,297.17 × 520.32
  4. Step 4: Simplify right side
    940.05x = 674,943.49
  5. Step 5: Solve for x
    x = 674,943.49/940.05
  6. Step 6: Final answer
    x = 717.99

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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.