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Finding the Fourth Proportional to 2,287.77, 3,431.31 and 644.01

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Solution

The fourth proportional to 2,287.77, 3,431.31 and 644.01 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.77 : 3,431.31 = 644.01 : x
  2. Step 2: Convert to fraction form
    2,287.77/3,431.31 = 644.01/x
  3. Step 3: Cross multiply
    2,287.77x = 3,431.31 × 644.01
  4. Step 4: Simplify right side
    2,287.77x = 2,209,797.95
  5. Step 5: Solve for x
    x = 2,209,797.95/2,287.77
  6. Step 6: Final answer
    x = 965.92

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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.