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Finding the Fourth Proportional to 1,866.61, 2,797.94 and 633.59

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Solution

The fourth proportional to 1,866.61, 2,797.94 and 633.59 is: 949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.61 : 2,797.94 = 633.59 : x
  2. Step 2: Convert to fraction form
    1,866.61/2,797.94 = 633.59/x
  3. Step 3: Cross multiply
    1,866.61x = 2,797.94 × 633.59
  4. Step 4: Simplify right side
    1,866.61x = 1,772,744.89
  5. Step 5: Solve for x
    x = 1,772,744.89/1,866.61
  6. Step 6: Final answer
    x = 949.71

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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.