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Finding the Fourth Proportional to 1,273.76, 1,911.32 and 543.84

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Solution

The fourth proportional to 1,273.76, 1,911.32 and 543.84 is: 816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.76 : 1,911.32 = 543.84 : x
  2. Step 2: Convert to fraction form
    1,273.76/1,911.32 = 543.84/x
  3. Step 3: Cross multiply
    1,273.76x = 1,911.32 × 543.84
  4. Step 4: Simplify right side
    1,273.76x = 1,039,449.55
  5. Step 5: Solve for x
    x = 1,039,449.55/1,273.76
  6. Step 6: Final answer
    x = 816.05

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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.