Home / 1,160.90-1,741.39-295.23

Finding the Fourth Proportional to 1,160.90, 1,741.39 and 295.23

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Solution

The fourth proportional to 1,160.90, 1,741.39 and 295.23 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.90 : 1,741.39 = 295.23 : x
  2. Step 2: Convert to fraction form
    1,160.90/1,741.39 = 295.23/x
  3. Step 3: Cross multiply
    1,160.90x = 1,741.39 × 295.23
  4. Step 4: Simplify right side
    1,160.90x = 514,110.57
  5. Step 5: Solve for x
    x = 514,110.57/1,160.90
  6. Step 6: Final answer
    x = 442.86

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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.