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Finding the Fourth Proportional to 1,175.63, 1,622.27 and 678.19

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Solution

The fourth proportional to 1,175.63, 1,622.27 and 678.19 is: 935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.63 : 1,622.27 = 678.19 : x
  2. Step 2: Convert to fraction form
    1,175.63/1,622.27 = 678.19/x
  3. Step 3: Cross multiply
    1,175.63x = 1,622.27 × 678.19
  4. Step 4: Simplify right side
    1,175.63x = 1,100,195.79
  5. Step 5: Solve for x
    x = 1,100,195.79/1,175.63
  6. Step 6: Final answer
    x = 935.84

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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.