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Finding the Fourth Proportional to 1,175.78, 1,622.49 and 678.40

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Solution

The fourth proportional to 1,175.78, 1,622.49 and 678.40 is: 936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.78 : 1,622.49 = 678.40 : x
  2. Step 2: Convert to fraction form
    1,175.78/1,622.49 = 678.40/x
  3. Step 3: Cross multiply
    1,175.78x = 1,622.49 × 678.40
  4. Step 4: Simplify right side
    1,175.78x = 1,100,697.22
  5. Step 5: Solve for x
    x = 1,100,697.22/1,175.78
  6. Step 6: Final answer
    x = 936.14

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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.