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Finding the Fourth Proportional to 1,175.34, 1,764.63 and 627.78

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Solution

The fourth proportional to 1,175.34, 1,764.63 and 627.78 is: 942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.34 : 1,764.63 = 627.78 : x
  2. Step 2: Convert to fraction form
    1,175.34/1,764.63 = 627.78/x
  3. Step 3: Cross multiply
    1,175.34x = 1,764.63 × 627.78
  4. Step 4: Simplify right side
    1,175.34x = 1,107,799.42
  5. Step 5: Solve for x
    x = 1,107,799.42/1,175.34
  6. Step 6: Final answer
    x = 942.54

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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.