Home / 1,192.31-1,789.26-543.05

Finding the Fourth Proportional to 1,192.31, 1,789.26 and 543.05

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Solution

The fourth proportional to 1,192.31, 1,789.26 and 543.05 is: 814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.31 : 1,789.26 = 543.05 : x
  2. Step 2: Convert to fraction form
    1,192.31/1,789.26 = 543.05/x
  3. Step 3: Cross multiply
    1,192.31x = 1,789.26 × 543.05
  4. Step 4: Simplify right side
    1,192.31x = 971,657.64
  5. Step 5: Solve for x
    x = 971,657.64/1,192.31
  6. Step 6: Final answer
    x = 814.94

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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.