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Finding the Fourth Proportional to 1,178.21, 1,625.93 and 736.11

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Solution

The fourth proportional to 1,178.21, 1,625.93 and 736.11 is: 1,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.21 : 1,625.93 = 736.11 : x
  2. Step 2: Convert to fraction form
    1,178.21/1,625.93 = 736.11/x
  3. Step 3: Cross multiply
    1,178.21x = 1,625.93 × 736.11
  4. Step 4: Simplify right side
    1,178.21x = 1,196,863.33
  5. Step 5: Solve for x
    x = 1,196,863.33/1,178.21
  6. Step 6: Final answer
    x = 1,015.83

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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.