Home / 1,157.38-1,736.28-540.98

Finding the Fourth Proportional to 1,157.38, 1,736.28 and 540.98

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Solution

The fourth proportional to 1,157.38, 1,736.28 and 540.98 is: 811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.38 : 1,736.28 = 540.98 : x
  2. Step 2: Convert to fraction form
    1,157.38/1,736.28 = 540.98/x
  3. Step 3: Cross multiply
    1,157.38x = 1,736.28 × 540.98
  4. Step 4: Simplify right side
    1,157.38x = 939,292.75
  5. Step 5: Solve for x
    x = 939,292.75/1,157.38
  6. Step 6: Final answer
    x = 811.57

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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.