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Finding the Fourth Proportional to 940.29, 1,297.61 and 520.62

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Solution

The fourth proportional to 940.29, 1,297.61 and 520.62 is: 718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.29 : 1,297.61 = 520.62 : x
  2. Step 2: Convert to fraction form
    940.29/1,297.61 = 520.62/x
  3. Step 3: Cross multiply
    940.29x = 1,297.61 × 520.62
  4. Step 4: Simplify right side
    940.29x = 675,559.12
  5. Step 5: Solve for x
    x = 675,559.12/940.29
  6. Step 6: Final answer
    x = 718.46

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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.