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Finding the Fourth Proportional to 940.25, 1,297.64 and 520.64

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Solution

The fourth proportional to 940.25, 1,297.64 and 520.64 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.25 : 1,297.64 = 520.64 : x
  2. Step 2: Convert to fraction form
    940.25/1,297.64 = 520.64/x
  3. Step 3: Cross multiply
    940.25x = 1,297.64 × 520.64
  4. Step 4: Simplify right side
    940.25x = 675,602.97
  5. Step 5: Solve for x
    x = 675,602.97/940.25
  6. Step 6: Final answer
    x = 718.53

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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.