Home / 1,160.89-1,741.28-295.22

Finding the Fourth Proportional to 1,160.89, 1,741.28 and 295.22

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Solution

The fourth proportional to 1,160.89, 1,741.28 and 295.22 is: 442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.89 : 1,741.28 = 295.22 : x
  2. Step 2: Convert to fraction form
    1,160.89/1,741.28 = 295.22/x
  3. Step 3: Cross multiply
    1,160.89x = 1,741.28 × 295.22
  4. Step 4: Simplify right side
    1,160.89x = 514,061.42
  5. Step 5: Solve for x
    x = 514,061.42/1,160.89
  6. Step 6: Final answer
    x = 442.82

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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.