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Finding the Fourth Proportional to 1,278, 1,917.24 and 547.68

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Solution

The fourth proportional to 1,278, 1,917.24 and 547.68 is: 821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278 : 1,917.24 = 547.68 : x
  2. Step 2: Convert to fraction form
    1,278/1,917.24 = 547.68/x
  3. Step 3: Cross multiply
    1,278x = 1,917.24 × 547.68
  4. Step 4: Simplify right side
    1,278x = 1,050,034.00
  5. Step 5: Solve for x
    x = 1,050,034.00/1,278
  6. Step 6: Final answer
    x = 821.62

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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.