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Finding the Fourth Proportional to 1,331.53, 1,837.73 and 959.74

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Solution

The fourth proportional to 1,331.53, 1,837.73 and 959.74 is: 1,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.53 : 1,837.73 = 959.74 : x
  2. Step 2: Convert to fraction form
    1,331.53/1,837.73 = 959.74/x
  3. Step 3: Cross multiply
    1,331.53x = 1,837.73 × 959.74
  4. Step 4: Simplify right side
    1,331.53x = 1,763,742.99
  5. Step 5: Solve for x
    x = 1,763,742.99/1,331.53
  6. Step 6: Final answer
    x = 1,324.60

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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.