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Finding the Fourth Proportional to 1,792.12, 2,687.76 and 542.48

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Solution

The fourth proportional to 1,792.12, 2,687.76 and 542.48 is: 813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.12 : 2,687.76 = 542.48 : x
  2. Step 2: Convert to fraction form
    1,792.12/2,687.76 = 542.48/x
  3. Step 3: Cross multiply
    1,792.12x = 2,687.76 × 542.48
  4. Step 4: Simplify right side
    1,792.12x = 1,458,056.04
  5. Step 5: Solve for x
    x = 1,458,056.04/1,792.12
  6. Step 6: Final answer
    x = 813.59

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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.