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Finding the Fourth Proportional to 1,368.50, 2,052.75 and 547.14

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Solution

The fourth proportional to 1,368.50, 2,052.75 and 547.14 is: 820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.50 : 2,052.75 = 547.14 : x
  2. Step 2: Convert to fraction form
    1,368.50/2,052.75 = 547.14/x
  3. Step 3: Cross multiply
    1,368.50x = 2,052.75 × 547.14
  4. Step 4: Simplify right side
    1,368.50x = 1,123,141.64
  5. Step 5: Solve for x
    x = 1,123,141.64/1,368.50
  6. Step 6: Final answer
    x = 820.71

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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.