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Finding the Fourth Proportional to 1,175.66, 1,622.56 and 678.43

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Solution

The fourth proportional to 1,175.66, 1,622.56 and 678.43 is: 936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.66 : 1,622.56 = 678.43 : x
  2. Step 2: Convert to fraction form
    1,175.66/1,622.56 = 678.43/x
  3. Step 3: Cross multiply
    1,175.66x = 1,622.56 × 678.43
  4. Step 4: Simplify right side
    1,175.66x = 1,100,793.38
  5. Step 5: Solve for x
    x = 1,100,793.38/1,175.66
  6. Step 6: Final answer
    x = 936.32

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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.