Home / 1,160.24-1,741.48-511.20

Finding the Fourth Proportional to 1,160.24, 1,741.48 and 511.20

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Solution

The fourth proportional to 1,160.24, 1,741.48 and 511.20 is: 767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.24 : 1,741.48 = 511.20 : x
  2. Step 2: Convert to fraction form
    1,160.24/1,741.48 = 511.20/x
  3. Step 3: Cross multiply
    1,160.24x = 1,741.48 × 511.20
  4. Step 4: Simplify right side
    1,160.24x = 890,244.58
  5. Step 5: Solve for x
    x = 890,244.58/1,160.24
  6. Step 6: Final answer
    x = 767.29

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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.