Home / 1,160.44-1,741.16-429.82

Finding the Fourth Proportional to 1,160.44, 1,741.16 and 429.82

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Solution

The fourth proportional to 1,160.44, 1,741.16 and 429.82 is: 644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.44 : 1,741.16 = 429.82 : x
  2. Step 2: Convert to fraction form
    1,160.44/1,741.16 = 429.82/x
  3. Step 3: Cross multiply
    1,160.44x = 1,741.16 × 429.82
  4. Step 4: Simplify right side
    1,160.44x = 748,382.11
  5. Step 5: Solve for x
    x = 748,382.11/1,160.44
  6. Step 6: Final answer
    x = 644.91

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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.