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Finding the Fourth Proportional to 1,192.52, 1,788.74 and 542.80

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Solution

The fourth proportional to 1,192.52, 1,788.74 and 542.80 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.52 : 1,788.74 = 542.80 : x
  2. Step 2: Convert to fraction form
    1,192.52/1,788.74 = 542.80/x
  3. Step 3: Cross multiply
    1,192.52x = 1,788.74 × 542.80
  4. Step 4: Simplify right side
    1,192.52x = 970,928.07
  5. Step 5: Solve for x
    x = 970,928.07/1,192.52
  6. Step 6: Final answer
    x = 814.18

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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.