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Finding the Fourth Proportional to 1,175.67, 1,763.15 and 812.79

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Solution

The fourth proportional to 1,175.67, 1,763.15 and 812.79 is: 1,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.67 : 1,763.15 = 812.79 : x
  2. Step 2: Convert to fraction form
    1,175.67/1,763.15 = 812.79/x
  3. Step 3: Cross multiply
    1,175.67x = 1,763.15 × 812.79
  4. Step 4: Simplify right side
    1,175.67x = 1,433,066.62
  5. Step 5: Solve for x
    x = 1,433,066.62/1,175.67
  6. Step 6: Final answer
    x = 1,218.94

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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.