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Finding the Fourth Proportional to 1,175.86, 1,763.81 and 310.14

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Solution

The fourth proportional to 1,175.86, 1,763.81 and 310.14 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.86 : 1,763.81 = 310.14 : x
  2. Step 2: Convert to fraction form
    1,175.86/1,763.81 = 310.14/x
  3. Step 3: Cross multiply
    1,175.86x = 1,763.81 × 310.14
  4. Step 4: Simplify right side
    1,175.86x = 547,028.03
  5. Step 5: Solve for x
    x = 547,028.03/1,175.86
  6. Step 6: Final answer
    x = 465.22

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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.