Home / 1,426.40-2,135.74-740.96

Finding the Fourth Proportional to 1,426.40, 2,135.74 and 740.96

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Solution

The fourth proportional to 1,426.40, 2,135.74 and 740.96 is: 1,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.40 : 2,135.74 = 740.96 : x
  2. Step 2: Convert to fraction form
    1,426.40/2,135.74 = 740.96/x
  3. Step 3: Cross multiply
    1,426.40x = 2,135.74 × 740.96
  4. Step 4: Simplify right side
    1,426.40x = 1,582,497.91
  5. Step 5: Solve for x
    x = 1,582,497.91/1,426.40
  6. Step 6: Final answer
    x = 1,109.43

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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.