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Finding the Fourth Proportional to 1,200.30, 1,791.74 and 1,054.50

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Solution

The fourth proportional to 1,200.30, 1,791.74 and 1,054.50 is: 1,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.30 : 1,791.74 = 1,054.50 : x
  2. Step 2: Convert to fraction form
    1,200.30/1,791.74 = 1,054.50/x
  3. Step 3: Cross multiply
    1,200.30x = 1,791.74 × 1,054.50
  4. Step 4: Simplify right side
    1,200.30x = 1,889,384.56
  5. Step 5: Solve for x
    x = 1,889,384.56/1,200.30
  6. Step 6: Final answer
    x = 1,574.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.