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Finding the Fourth Proportional to 2,577.13, 3,865.69 and 629.33

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Solution

The fourth proportional to 2,577.13, 3,865.69 and 629.33 is: 944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.13 : 3,865.69 = 629.33 : x
  2. Step 2: Convert to fraction form
    2,577.13/3,865.69 = 629.33/x
  3. Step 3: Cross multiply
    2,577.13x = 3,865.69 × 629.33
  4. Step 4: Simplify right side
    2,577.13x = 2,432,804.65
  5. Step 5: Solve for x
    x = 2,432,804.65/2,577.13
  6. Step 6: Final answer
    x = 944.00

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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.