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Finding the Fourth Proportional to 1,160.75, 1,741.18 and 511.47

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Solution

The fourth proportional to 1,160.75, 1,741.18 and 511.47 is: 767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.75 : 1,741.18 = 511.47 : x
  2. Step 2: Convert to fraction form
    1,160.75/1,741.18 = 511.47/x
  3. Step 3: Cross multiply
    1,160.75x = 1,741.18 × 511.47
  4. Step 4: Simplify right side
    1,160.75x = 890,561.33
  5. Step 5: Solve for x
    x = 890,561.33/1,160.75
  6. Step 6: Final answer
    x = 767.23

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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.