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Finding the Fourth Proportional to 1,175.38, 1,622.17 and 771.95

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Solution

The fourth proportional to 1,175.38, 1,622.17 and 771.95 is: 1,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.38 : 1,622.17 = 771.95 : x
  2. Step 2: Convert to fraction form
    1,175.38/1,622.17 = 771.95/x
  3. Step 3: Cross multiply
    1,175.38x = 1,622.17 × 771.95
  4. Step 4: Simplify right side
    1,175.38x = 1,252,233.07
  5. Step 5: Solve for x
    x = 1,252,233.07/1,175.38
  6. Step 6: Final answer
    x = 1,065.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.