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Finding the Fourth Proportional to 1,192.61, 1,788.92 and 543.20

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Solution

The fourth proportional to 1,192.61, 1,788.92 and 543.20 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.61 : 1,788.92 = 543.20 : x
  2. Step 2: Convert to fraction form
    1,192.61/1,788.92 = 543.20/x
  3. Step 3: Cross multiply
    1,192.61x = 1,788.92 × 543.20
  4. Step 4: Simplify right side
    1,192.61x = 971,729.68
  5. Step 5: Solve for x
    x = 971,729.68/1,192.61
  6. Step 6: Final answer
    x = 814.80

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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.