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Finding the Fourth Proportional to 1,422.45, 2,134.99 and 729.61

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Solution

The fourth proportional to 1,422.45, 2,134.99 and 729.61 is: 1,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.45 : 2,134.99 = 729.61 : x
  2. Step 2: Convert to fraction form
    1,422.45/2,134.99 = 729.61/x
  3. Step 3: Cross multiply
    1,422.45x = 2,134.99 × 729.61
  4. Step 4: Simplify right side
    1,422.45x = 1,557,710.05
  5. Step 5: Solve for x
    x = 1,557,710.05/1,422.45
  6. Step 6: Final answer
    x = 1,095.09

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1.5x scale

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.