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Finding the Fourth Proportional to 1,151.78, 1,589.58 and 1,008.68

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Solution

The fourth proportional to 1,151.78, 1,589.58 and 1,008.68 is: 1,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.78 : 1,589.58 = 1,008.68 : x
  2. Step 2: Convert to fraction form
    1,151.78/1,589.58 = 1,008.68/x
  3. Step 3: Cross multiply
    1,151.78x = 1,589.58 × 1,008.68
  4. Step 4: Simplify right side
    1,151.78x = 1,603,377.55
  5. Step 5: Solve for x
    x = 1,603,377.55/1,151.78
  6. Step 6: Final answer
    x = 1,392.09

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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.