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Finding the Fourth Proportional to 1,192.51, 1,788.83 and 412.55

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Solution

The fourth proportional to 1,192.51, 1,788.83 and 412.55 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.51 : 1,788.83 = 412.55 : x
  2. Step 2: Convert to fraction form
    1,192.51/1,788.83 = 412.55/x
  3. Step 3: Cross multiply
    1,192.51x = 1,788.83 × 412.55
  4. Step 4: Simplify right side
    1,192.51x = 737,981.82
  5. Step 5: Solve for x
    x = 737,981.82/1,192.51
  6. Step 6: Final answer
    x = 618.85

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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.