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Finding the Fourth Proportional to 1,200.94, 1,801.41 and 288.94

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Solution

The fourth proportional to 1,200.94, 1,801.41 and 288.94 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.94 : 1,801.41 = 288.94 : x
  2. Step 2: Convert to fraction form
    1,200.94/1,801.41 = 288.94/x
  3. Step 3: Cross multiply
    1,200.94x = 1,801.41 × 288.94
  4. Step 4: Simplify right side
    1,200.94x = 520,494.90
  5. Step 5: Solve for x
    x = 520,494.90/1,200.94
  6. Step 6: Final answer
    x = 433.41

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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.