Home / 1,440.32-2,157.38-823.70

Finding the Fourth Proportional to 1,440.32, 2,157.38 and 823.70

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Solution

The fourth proportional to 1,440.32, 2,157.38 and 823.70 is: 1,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.32 : 2,157.38 = 823.70 : x
  2. Step 2: Convert to fraction form
    1,440.32/2,157.38 = 823.70/x
  3. Step 3: Cross multiply
    1,440.32x = 2,157.38 × 823.70
  4. Step 4: Simplify right side
    1,440.32x = 1,777,033.91
  5. Step 5: Solve for x
    x = 1,777,033.91/1,440.32
  6. Step 6: Final answer
    x = 1,233.78

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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.