Home / 1,157.41-1,736.15-540.96

Finding the Fourth Proportional to 1,157.41, 1,736.15 and 540.96

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Solution

The fourth proportional to 1,157.41, 1,736.15 and 540.96 is: 811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.41 : 1,736.15 = 540.96 : x
  2. Step 2: Convert to fraction form
    1,157.41/1,736.15 = 540.96/x
  3. Step 3: Cross multiply
    1,157.41x = 1,736.15 × 540.96
  4. Step 4: Simplify right side
    1,157.41x = 939,187.70
  5. Step 5: Solve for x
    x = 939,187.70/1,157.41
  6. Step 6: Final answer
    x = 811.46

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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.