Home / 1,057.61-1,460.90-811.97

Finding the Fourth Proportional to 1,057.61, 1,460.90 and 811.97

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Solution

The fourth proportional to 1,057.61, 1,460.90 and 811.97 is: 1,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.61 : 1,460.90 = 811.97 : x
  2. Step 2: Convert to fraction form
    1,057.61/1,460.90 = 811.97/x
  3. Step 3: Cross multiply
    1,057.61x = 1,460.90 × 811.97
  4. Step 4: Simplify right side
    1,057.61x = 1,186,195.61
  5. Step 5: Solve for x
    x = 1,186,195.61/1,057.61
  6. Step 6: Final answer
    x = 1,121.58

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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.