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Finding the Fourth Proportional to 1,422.68, 2,132.99 and 959.30

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Solution

The fourth proportional to 1,422.68, 2,132.99 and 959.30 is: 1,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.68 : 2,132.99 = 959.30 : x
  2. Step 2: Convert to fraction form
    1,422.68/2,132.99 = 959.30/x
  3. Step 3: Cross multiply
    1,422.68x = 2,132.99 × 959.30
  4. Step 4: Simplify right side
    1,422.68x = 2,046,161.85
  5. Step 5: Solve for x
    x = 2,046,161.85/1,422.68
  6. Step 6: Final answer
    x = 1,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.