Home / 1,440.64-1,987.92-811.12

Finding the Fourth Proportional to 1,440.64, 1,987.92 and 811.12

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Solution

The fourth proportional to 1,440.64, 1,987.92 and 811.12 is: 1,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.64 : 1,987.92 = 811.12 : x
  2. Step 2: Convert to fraction form
    1,440.64/1,987.92 = 811.12/x
  3. Step 3: Cross multiply
    1,440.64x = 1,987.92 × 811.12
  4. Step 4: Simplify right side
    1,440.64x = 1,612,441.67
  5. Step 5: Solve for x
    x = 1,612,441.67/1,440.64
  6. Step 6: Final answer
    x = 1,119.25

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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.