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Finding the Fourth Proportional to 1,178.78, 1,768.39 and 562.53

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Solution

The fourth proportional to 1,178.78, 1,768.39 and 562.53 is: 843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.78 : 1,768.39 = 562.53 : x
  2. Step 2: Convert to fraction form
    1,178.78/1,768.39 = 562.53/x
  3. Step 3: Cross multiply
    1,178.78x = 1,768.39 × 562.53
  4. Step 4: Simplify right side
    1,178.78x = 994,772.43
  5. Step 5: Solve for x
    x = 994,772.43/1,178.78
  6. Step 6: Final answer
    x = 843.90

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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.