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Finding the Fourth Proportional to 1,782.16, 2,672.28 and 685.72

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Solution

The fourth proportional to 1,782.16, 2,672.28 and 685.72 is: 1,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.16 : 2,672.28 = 685.72 : x
  2. Step 2: Convert to fraction form
    1,782.16/2,672.28 = 685.72/x
  3. Step 3: Cross multiply
    1,782.16x = 2,672.28 × 685.72
  4. Step 4: Simplify right side
    1,782.16x = 1,832,435.84
  5. Step 5: Solve for x
    x = 1,832,435.84/1,782.16
  6. Step 6: Final answer
    x = 1,028.21

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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.