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Finding the Fourth Proportional to 1,200.36, 1,800.81 and 868.40

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Solution

The fourth proportional to 1,200.36, 1,800.81 and 868.40 is: 1,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.36 : 1,800.81 = 868.40 : x
  2. Step 2: Convert to fraction form
    1,200.36/1,800.81 = 868.40/x
  3. Step 3: Cross multiply
    1,200.36x = 1,800.81 × 868.40
  4. Step 4: Simplify right side
    1,200.36x = 1,563,814.40
  5. Step 5: Solve for x
    x = 1,563,814.40/1,200.36
  6. Step 6: Final answer
    x = 1,302.79

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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.