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Finding the Fourth Proportional to 1,192.99, 1,789.48 and 543.77

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Solution

The fourth proportional to 1,192.99, 1,789.48 and 543.77 is: 815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.99 : 1,789.48 = 543.77 : x
  2. Step 2: Convert to fraction form
    1,192.99/1,789.48 = 543.77/x
  3. Step 3: Cross multiply
    1,192.99x = 1,789.48 × 543.77
  4. Step 4: Simplify right side
    1,192.99x = 973,065.54
  5. Step 5: Solve for x
    x = 973,065.54/1,192.99
  6. Step 6: Final answer
    x = 815.65

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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.